OEIS Similars: A128899, A039598
↕ Type | ↕ Trait | ↕ Anum | ↕ Sequence |
---|---|---|---|
Std | TriangleT(n, k), 0 ≤ k ≤ n | A128899 | 1 0 1 0 2 1 0 5 4 1 0 14 14 6 1 0 42 48 27 8 1 0 132 165 110 44 10 1 0 429 572 429 208 65 12 1 0 |
Std | RevT(n, n - k), 0 ≤ k ≤ n | missing | 1 1 0 1 2 0 1 4 5 0 1 6 14 14 0 1 8 27 48 42 0 1 10 44 110 165 132 0 1 12 65 208 429 572 429 0 1 14 |
Std | InvT-1(n, k), 0 ≤ k ≤ n | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 |
Std | RevInvT-1(n, n - k), 0 ≤ k ≤ n | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -6 10 -4 0 1 -8 21 -20 5 0 1 -10 36 -56 35 -6 0 1 -12 55 -120 126 -56 7 0 1 |
Std | Accsee docs | missing | 1 0 1 0 2 3 0 5 9 10 0 14 28 34 35 0 42 90 117 125 126 0 132 297 407 451 461 462 0 429 1001 1430 |
Std | AccRevsee docs | missing | 1 1 1 1 3 3 1 5 10 10 1 7 21 35 35 1 9 36 84 126 126 1 11 55 165 330 462 462 1 13 78 286 715 1287 |
Std | AntiDiagsee docs | missing | 1 0 0 1 0 2 0 5 1 0 14 4 0 42 14 1 0 132 48 6 0 429 165 27 1 0 1430 572 110 8 0 4862 2002 429 44 1 |
Std | Diffx1T(n, k) (k+1) | missing | 1 0 2 0 4 3 0 10 12 4 0 28 42 24 5 0 84 144 108 40 6 0 264 495 440 220 60 7 0 858 1716 1716 1040 |
Std | RowSum∑ k=0..n T(n, k) | A001700 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 |
Std | EvenSum∑ k=0..n T(n, k) even(k) | A001791 | 1 0 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 |
Std | OddSum∑ k=0..n T(n, k) odd(k) | A000984 | 0 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 |
Std | AltSum∑ k=0..n T(n, k) (-1)^k | A000108 | 1 -1 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 |
Std | AbsSum∑ k=0..n | T(n, k) | | A001700 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 |
Std | DiagSum∑ k=0..n // 2 T(n - k, k) | A000957 | 1 0 1 2 6 18 57 186 622 2120 7338 25724 91144 325878 1174281 4260282 15548694 57048048 210295326 |
Std | AccSum∑ k=0..n ∑ j=0..k T(n, j) | A296770 | 1 1 5 24 111 500 2210 9632 41531 177564 754014 3184016 13382710 56026984 233765636 972504704 |
Std | AccRevSum∑ k=0..n ∑ j=0..k T(n, n - j) | A114121 | 1 2 7 26 99 382 1486 5812 22819 89846 354522 1401292 5546382 21977516 87167164 345994216 1374282019 |
Std | RowLcmLcm k=0..n | T(n, k) | > 1 | missing | 1 1 2 20 42 3024 660 34320 450450 13613600 4232592 1777688640 240253860 144152316000 516300642000 |
Std | RowGcdGcd k=0..n | T(n, k) | > 1 | A297382 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Std | RowMaxMax k=0..n | T(n, k) | | missing | 1 1 2 5 14 48 165 572 2002 7072 25194 90440 326876 1225785 4601610 17298645 65132550 245642760 |
Std | ColMiddleT(n, n // 2) | missing | 1 0 2 5 14 48 110 429 910 3808 7752 33915 67298 303600 592020 2731365 5259150 24682944 47071640 |
Std | CentralET(2 n, n) | A359108 | 1 2 14 110 910 7752 67298 592020 5259150 47071640 423830264 3834669566 34834267234 317506779800 |
Std | CentralOT(2 n + 1, n) | missing | 0 5 48 429 3808 33915 303600 2731365 24682944 223926516 2038362560 18609425835 170333048928 |
Std | ColLeftT(n, 0) | A000007 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
Std | ColRightT(n, n) | A000012 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Std | BinConv∑ k=0..n C(n, k) T(n, k) | A025174 | 1 1 5 28 165 1001 6188 38760 245157 1562275 10015005 64512240 417225900 2707475148 17620076360 |
Std | InvBinConv∑ k=0..n C(n, k) T(n, n - k) (-1)^k | missing | 1 1 -3 4 5 -39 84 8 -603 1795 -1243 -9096 37388 -50036 -119640 747984 -1460827 -1006569 14187927 |
Std | TransNat0∑ k=0..n T(n, k) k | A000302 | 0 1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864 268435456 1073741824 |
Std | TransNat1∑ k=0..n T(n, k) (k + 1) | A114121 | 1 2 7 26 99 382 1486 5812 22819 89846 354522 1401292 5546382 21977516 87167164 345994216 1374282019 |
Std | TransSqrs∑ k=0..n T(n, k) k^2 | A002457 | 0 1 6 30 140 630 2772 12012 51480 218790 923780 3879876 16224936 67603900 280816200 1163381400 |
Std | PosHalf∑ k=0..n 2^n T(n, k) (1/2)^k | A194723 | 1 1 5 29 181 1181 7941 54573 381333 2699837 19319845 139480397 1014536117 7426790749 54669443141 |
Std | NegHalf∑ k=0..n (-2)^n T(n, k) (-1/2)^k | A064062 | 1 1 -3 13 -67 381 -2307 14589 -95235 636925 -4341763 30056445 -210731011 1493303293 -10678370307 |
Std | DiagRow1T(n + 1, n) | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 |
Std | DiagRow2T(n + 2, n) | A014106 | 0 5 14 27 44 65 90 119 152 189 230 275 324 377 434 495 560 629 702 779 860 945 1034 1127 1224 1325 |
Std | DiagRow3T(n + 3, n) | missing | 0 14 48 110 208 350 544 798 1120 1518 2000 2574 3248 4030 4928 5950 7104 8398 9840 11438 13200 |
Std | DiagCol1T(n + 1, 1) | A000108 | 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 |
Std | DiagCol2T(n + 2, 2) | A002057 | 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 |
Std | DiagCol3T(n + 3, 3) | A003517 | 1 6 27 110 429 1638 6188 23256 87210 326876 1225785 4601610 17298645 65132550 245642760 927983760 |
Std | Polysee docs | missing | 1 0 1 0 1 1 0 3 2 1 0 10 8 3 1 0 35 34 15 4 1 0 126 148 78 24 5 1 0 462 652 411 148 35 6 1 0 1716 |
Std | PolyRow1∑ k=0..1 T(1, k) n^k | A000027 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 |
Std | PolyRow2∑ k=0..2 T(2, k) n^k | A005563 | 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 783 |
Std | PolyRow3∑ k=0..3 T(3, k) n^k | missing | 0 10 34 78 148 250 390 574 808 1098 1450 1870 2364 2938 3598 4350 5200 6154 7218 8398 9700 11130 |
Std | PolyCol2∑ k=0..n T(n, k) 2^k | A067336 | 1 2 8 34 148 652 2892 12882 57540 257500 1153888 5175700 23231864 104335376 468766292 2106773874 |
Std | PolyCol3∑ k=0..n T(n, k) 3^k | A104530 | 1 3 15 78 411 2178 11574 61596 328083 1748346 9319650 49688004 264943902 1412826132 7534329804 |
Std | PolyDiag∑ k=0..n T(n, k) n^k | missing | 1 1 8 78 920 12910 211932 4005372 85904688 2064940470 55043183360 1612451393476 51512761928784 |
Alt | TriangleT(n, k), 0 ≤ k ≤ n | A128899 | 1 0 -1 0 -2 1 0 -5 4 -1 0 -14 14 -6 1 0 -42 48 -27 8 -1 0 -132 165 -110 44 -10 1 0 -429 572 -429 |
Alt | RevT(n, n - k), 0 ≤ k ≤ n | missing | 1 -1 0 1 -2 0 -1 4 -5 0 1 -6 14 -14 0 -1 8 -27 48 -42 0 1 -10 44 -110 165 -132 0 -1 12 -65 208 -429 |
Alt | InvT-1(n, k), 0 ≤ k ≤ n | missing | 1 0 1 0 2 1 0 -3 -4 1 0 -32 -38 6 1 0 121 148 -21 -8 1 0 2090 2547 -364 -124 10 1 0 -12561 -15328 |
Alt | RevInvT-1(n, n - k), 0 ≤ k ≤ n | missing | 1 1 0 1 2 0 1 -4 -3 0 1 6 -38 -32 0 1 -8 -21 148 121 0 1 10 -124 -364 2547 2090 0 1 -12 -55 760 |
Alt | Accsee docs | missing | 1 0 -1 0 -2 -1 0 -5 -1 -2 0 -14 0 -6 -5 0 -42 6 -21 -13 -14 0 -132 33 -77 -33 -43 -42 0 -429 143 |
Alt | AccRevsee docs | missing | 1 -1 -1 1 -1 -1 -1 3 -2 -2 1 -5 9 -5 -5 -1 7 -20 28 -14 -14 1 -9 35 -75 90 -42 -42 -1 11 -54 154 |
Alt | AntiDiagsee docs | missing | 1 0 0 -1 0 -2 0 -5 1 0 -14 4 0 -42 14 -1 0 -132 48 -6 0 -429 165 -27 1 0 -1430 572 -110 8 0 -4862 |
Alt | Diffx1T(n, k) (k+1) | missing | 1 0 -2 0 -4 3 0 -10 12 -4 0 -28 42 -24 5 0 -84 144 -108 40 -6 0 -264 495 -440 220 -60 7 0 -858 1716 |
Alt | RowSum∑ k=0..n T(n, k) | A000108 | 1 -1 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 |
Alt | EvenSum∑ k=0..n T(n, k) even(k) | A001791 | 1 0 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 |
Alt | OddSum∑ k=0..n T(n, k) odd(k) | A000984 | 0 -1 -2 -6 -20 -70 -252 -924 -3432 -12870 -48620 -184756 -705432 -2704156 -10400600 -40116600 |
Alt | AltSum∑ k=0..n T(n, k) (-1)^k | A001700 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 |
Alt | AbsSum∑ k=0..n | T(n, k) | | A001700 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 |
Alt | DiagSum∑ k=0..n // 2 T(n - k, k) | A135334 | 1 0 -1 -2 -4 -10 -29 -90 -290 -960 -3246 -11164 -38934 -137358 -489341 -1757882 -6360634 -23160528 |
Alt | AccSum∑ k=0..n ∑ j=0..k T(n, j) | A038665 | 1 -1 -3 -8 -25 -84 -294 -1056 -3861 -14300 -53482 -201552 -764218 -2912168 -11143500 -42791040 |
Alt | AccRevSum∑ k=0..n ∑ j=0..k T(n, n - j) | A000108 | 1 -2 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 |
Alt | RowLcmLcm k=0..n | T(n, k) | > 1 | missing | 1 1 2 20 42 3024 660 34320 450450 13613600 4232592 1777688640 240253860 144152316000 516300642000 |
Alt | RowGcdGcd k=0..n | T(n, k) | > 1 | A297382 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Alt | RowMaxMax k=0..n | T(n, k) | | missing | 1 1 2 5 14 48 165 572 2002 7072 25194 90440 326876 1225785 4601610 17298645 65132550 245642760 |
Alt | ColMiddleT(n, n // 2) | missing | 1 0 -2 -5 14 48 -110 -429 910 3808 -7752 -33915 67298 303600 -592020 -2731365 5259150 24682944 |
Alt | CentralET(2 n, n) | A359108 | 1 -2 14 -110 910 -7752 67298 -592020 5259150 -47071640 423830264 -3834669566 34834267234 |
Alt | CentralOT(2 n + 1, n) | missing | 0 -5 48 -429 3808 -33915 303600 -2731365 24682944 -223926516 2038362560 -18609425835 170333048928 |
Alt | ColLeftT(n, 0) | A000007 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
Alt | BinConv∑ k=0..n C(n, k) T(n, k) | missing | 1 -1 -3 -4 5 39 84 -8 -603 -1795 -1243 9096 37388 50036 -119640 -747984 -1460827 1006569 14187927 |
Alt | InvBinConv∑ k=0..n C(n, k) T(n, n - k) (-1)^k | A025174 | 1 -1 5 -28 165 -1001 6188 -38760 245157 -1562275 10015005 -64512240 417225900 -2707475148 |
Alt | TransNat0∑ k=0..n T(n, k) k | A063524 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
Alt | TransNat1∑ k=0..n T(n, k) (k + 1) | A000108 | 1 -2 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 |
Alt | TransSqrs∑ k=0..n T(n, k) k^2 | A068875 | 0 -1 2 2 4 10 28 84 264 858 2860 9724 33592 117572 416024 1485800 5348880 19389690 70715340 |
Alt | PosHalf∑ k=0..n 2^n T(n, k) (1/2)^k | A064062 | 1 -1 -3 -13 -67 -381 -2307 -14589 -95235 -636925 -4341763 -30056445 -210731011 -1493303293 |
Alt | NegHalf∑ k=0..n (-2)^n T(n, k) (-1/2)^k | A194723 | 1 -1 5 -29 181 -1181 7941 -54573 381333 -2699837 19319845 -139480397 1014536117 -7426790749 |
Alt | DiagRow1T(n + 1, n) | A005843 | 0 -2 4 -6 8 -10 12 -14 16 -18 20 -22 24 -26 28 -30 32 -34 36 -38 40 -42 44 -46 48 -50 52 -54 56 -58 |
Alt | DiagRow2T(n + 2, n) | A014106 | 0 -5 14 -27 44 -65 90 -119 152 -189 230 -275 324 -377 434 -495 560 -629 702 -779 860 -945 1034 |
Alt | DiagRow3T(n + 3, n) | missing | 0 -14 48 -110 208 -350 544 -798 1120 -1518 2000 -2574 3248 -4030 4928 -5950 7104 -8398 9840 -11438 |
Alt | DiagCol1T(n + 1, 1) | A000108 | -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 -35357670 |
Alt | DiagCol2T(n + 2, 2) | A002057 | 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 |
Alt | DiagCol3T(n + 3, 3) | A003517 | -1 -6 -27 -110 -429 -1638 -6188 -23256 -87210 -326876 -1225785 -4601610 -17298645 -65132550 |
Alt | Polysee docs | missing | 1 0 1 0 -1 1 0 -1 -2 1 0 -2 0 -3 1 0 -5 -2 3 -4 1 0 -14 -4 -6 8 -5 1 0 -42 -12 3 -20 15 -6 1 0 -132 |
Alt | PolyRow1∑ k=0..1 T(1, k) n^k | A000027 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 |
Alt | PolyRow2∑ k=0..2 T(2, k) n^k | A005563 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 |
Alt | PolyRow3∑ k=0..3 T(3, k) n^k | missing | 0 -2 -2 -6 -20 -50 -102 -182 -296 -450 -650 -902 -1212 -1586 -2030 -2550 -3152 -3842 -4626 -5510 |
Alt | PolyCol2∑ k=0..n T(n, k) 2^k | missing | 1 -2 0 -2 -4 -12 -36 -114 -372 -1244 -4240 -14676 -51448 -182288 -651756 -2348562 -8520564 |
Alt | PolyCol3∑ k=0..n T(n, k) 3^k | missing | 1 -3 3 -6 3 -18 -18 -108 -285 -1050 -3462 -12180 -42546 -151284 -541188 -1952856 -7091037 -25902954 |
Alt | PolyDiag∑ k=0..n T(n, k) n^k | missing | 1 -1 0 -6 40 -510 7308 -126924 2546640 -58123350 1485935440 -42059272596 1305569973552 |
Rev | TriangleT(n, k), 0 ≤ k ≤ n | missing | 1 1 0 1 2 0 1 4 5 0 1 6 14 14 0 1 8 27 48 42 0 1 10 44 110 165 132 0 1 12 65 208 429 572 429 0 1 14 |
Rev | InvRev(T(n, n - k))-1, 0 ≤ k ≤ n | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 |
Rev | Accsee docs | missing | 1 1 1 1 3 3 1 5 10 10 1 7 21 35 35 1 9 36 84 126 126 1 11 55 165 330 462 462 1 13 78 286 715 1287 |
Rev | AccRevsee docs | missing | 1 0 1 0 2 3 0 5 9 10 0 14 28 34 35 0 42 90 117 125 126 0 132 297 407 451 461 462 0 429 1001 1430 |
Rev | AntiDiagsee docs | missing | 1 1 1 0 1 2 1 4 0 1 6 5 1 8 14 0 1 10 27 14 1 12 44 48 0 1 14 65 110 42 1 16 90 208 165 0 1 18 119 |
Rev | Diffx1T(n, k) (k+1) | missing | 1 1 0 1 4 0 1 8 15 0 1 12 42 56 0 1 16 81 192 210 0 1 20 132 440 825 792 0 1 24 195 832 2145 3432 |
Rev | RowSum∑ k=0..n T(n, k) | A001700 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 |
Rev | EvenSum∑ k=0..n T(n, k) even(k) | missing | 1 1 1 6 15 70 210 924 3003 12870 43758 184756 646646 2704156 9657700 40116600 145422675 601080390 |
Rev | OddSum∑ k=0..n T(n, k) odd(k) | missing | 0 0 2 4 20 56 252 792 3432 11440 48620 167960 705432 2496144 10400600 37442160 155117520 565722720 |
Rev | AltSum∑ k=0..n T(n, k) (-1)^k | A000108 | 1 1 -1 2 -5 14 -42 132 -429 1430 -4862 16796 -58786 208012 -742900 2674440 -9694845 35357670 |
Rev | AbsSum∑ k=0..n | T(n, k) | | A001700 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 |
Rev | DiagSum∑ k=0..n // 2 T(n - k, k) | A224747 | 1 1 1 3 5 12 23 52 105 232 480 1049 2199 4777 10092 21845 46377 100159 213328 460023 981976 2115350 |
Rev | AccSum∑ k=0..n ∑ j=0..k T(n, j) | A114121 | 1 2 7 26 99 382 1486 5812 22819 89846 354522 1401292 5546382 21977516 87167164 345994216 1374282019 |
Rev | AccRevSum∑ k=0..n ∑ j=0..k T(n, n - j) | A296770 | 1 1 5 24 111 500 2210 9632 41531 177564 754014 3184016 13382710 56026984 233765636 972504704 |
Rev | RowLcmLcm k=0..n | T(n, k) | > 1 | missing | 1 1 2 20 42 3024 660 34320 450450 13613600 4232592 1777688640 240253860 144152316000 516300642000 |
Rev | RowGcdGcd k=0..n | T(n, k) | > 1 | A297382 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Rev | RowMaxMax k=0..n | T(n, k) | | missing | 1 1 2 5 14 48 165 572 2002 7072 25194 90440 326876 1225785 4601610 17298645 65132550 245642760 |
Rev | ColMiddleT(n, n // 2) | missing | 1 1 2 4 14 27 110 208 910 1700 7752 14364 67298 123970 592020 1085760 5259150 9612108 47071640 |
Rev | CentralET(2 n, n) | A359108 | 1 2 14 110 910 7752 67298 592020 5259150 47071640 423830264 3834669566 34834267234 317506779800 |
Rev | CentralOT(2 n + 1, n) | A026005 | 1 4 27 208 1700 14364 123970 1085760 9612108 85795600 770755843 6960408624 63127818572 574609830760 |
Rev | ColLeftT(n, 0) | A000012 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Rev | ColRightT(n, n) | A000007 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
Rev | BinConv∑ k=0..n C(n, k) T(n, k) | A025174 | 1 1 5 28 165 1001 6188 38760 245157 1562275 10015005 64512240 417225900 2707475148 17620076360 |
Rev | InvBinConv∑ k=0..n C(n, k) T(n, n - k) (-1)^k | missing | 1 -1 -3 -4 5 39 84 -8 -603 -1795 -1243 9096 37388 50036 -119640 -747984 -1460827 1006569 14187927 |
Rev | TransNat0∑ k=0..n T(n, k) k | A172060 | 0 0 2 14 76 374 1748 7916 35096 153254 661636 2831300 12030632 50826684 213707336 894945944 |
Rev | TransNat1∑ k=0..n T(n, k) (k + 1) | A296770 | 1 1 5 24 111 500 2210 9632 41531 177564 754014 3184016 13382710 56026984 233765636 972504704 |
Rev | TransSqrs∑ k=0..n T(n, k) k^2 | missing | 0 0 2 24 188 1220 7116 38752 201176 1008252 4918700 23489840 110260872 510246984 2333194808 |
Rev | PosHalf∑ k=0..n 2^n T(n, k) (1/2)^k | A067336 | 1 2 8 34 148 652 2892 12882 57540 257500 1153888 5175700 23231864 104335376 468766292 2106773874 |
Rev | NegHalf∑ k=0..n (-2)^n T(n, k) (-1/2)^k | missing | 1 -2 0 -2 -4 -12 -36 -114 -372 -1244 -4240 -14676 -51448 -182288 -651756 -2348562 -8520564 |
Rev | DiagRow1T(n + 1, n) | A000108 | 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 |
Rev | DiagRow2T(n + 2, n) | A002057 | 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 |
Rev | DiagRow3T(n + 3, n) | A003517 | 1 6 27 110 429 1638 6188 23256 87210 326876 1225785 4601610 17298645 65132550 245642760 927983760 |
Rev | DiagCol1T(n + 1, 1) | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 |
Rev | DiagCol2T(n + 2, 2) | A014106 | 0 5 14 27 44 65 90 119 152 189 230 275 324 377 434 495 560 629 702 779 860 945 1034 1127 1224 1325 |
Rev | DiagCol3T(n + 3, 3) | missing | 0 14 48 110 208 350 544 798 1120 1518 2000 2574 3248 4030 4928 5950 7104 8398 9840 11438 13200 |
Rev | Polysee docs | missing | 1 1 1 1 1 1 1 3 1 1 1 10 5 1 1 1 35 29 7 1 1 1 126 181 58 9 1 1 1 462 1181 523 97 11 1 1 1 1716 |
Rev | PolyRow1∑ k=0..1 T(1, k) n^k | A000012 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Rev | PolyRow2∑ k=0..2 T(2, k) n^k | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 |
Rev | PolyRow3∑ k=0..3 T(3, k) n^k | A079273 | 1 10 29 58 97 146 205 274 353 442 541 650 769 898 1037 1186 1345 1514 1693 1882 2081 2290 2509 2738 |
Rev | PolyCol2∑ k=0..n T(n, k) 2^k | A194723 | 1 1 5 29 181 1181 7941 54573 381333 2699837 19319845 139480397 1014536117 7426790749 54669443141 |
Rev | PolyCol3∑ k=0..n T(n, k) 3^k | A194724 | 1 1 7 58 523 4966 48838 492724 5068915 52955950 560198962 5987822380 64563867454 701383563388 |
Rev | PolyDiag∑ k=0..n T(n, k) n^k | missing | 1 1 5 58 1145 32966 1265677 61189668 3581326065 246643289830 19564269083381 1757975451672716 |
Inv | TriangleT(n, k), 0 ≤ k ≤ n | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 |
Inv | RevT(n, n - k), 0 ≤ k ≤ n | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -6 10 -4 0 1 -8 21 -20 5 0 1 -10 36 -56 35 -6 0 1 -12 55 -120 126 -56 7 0 1 |
Inv | RevInvT-1(n, n - k), 0 ≤ k ≤ n | missing | 1 1 0 1 2 0 1 4 5 0 1 6 14 14 0 1 8 27 48 42 0 1 10 44 110 165 132 0 1 12 65 208 429 572 429 0 1 14 |
Inv | Accsee docs | missing | 1 0 1 0 -2 -1 0 3 -1 0 0 -4 6 0 1 0 5 -15 6 -2 -1 0 -6 29 -27 9 -1 0 0 7 -49 77 -43 12 0 1 0 -8 76 |
Inv | AccRevsee docs | missing | 1 1 1 1 -1 -1 1 -3 0 0 1 -5 5 1 1 1 -7 14 -6 -1 -1 1 -9 27 -29 6 0 0 1 -11 44 -76 50 -6 1 1 1 -13 |
Inv | AntiDiagsee docs | missing | 1 0 0 1 0 -2 0 3 1 0 -4 -4 0 5 10 1 0 -6 -20 -6 0 7 35 21 1 0 -8 -56 -56 -8 0 9 84 126 36 1 0 -10 |
Inv | Diffx1T(n, k) (k+1) | missing | 1 0 2 0 -4 3 0 6 -12 4 0 -8 30 -24 5 0 10 -60 84 -40 6 0 -12 105 -224 180 -60 7 0 14 -168 504 -600 |
Inv | RowSum∑ k=0..n T(n, k) | A329682 | 1 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 |
Inv | EvenSum∑ k=0..n T(n, k) even(k) | A290890 | 1 0 1 -4 11 -28 72 -188 493 -1292 3383 -8856 23184 -60696 158905 -416020 1089155 -2851444 7465176 |
Inv | OddSum∑ k=0..n T(n, k) odd(k) | A113066 | 0 1 -2 4 -10 27 -72 189 -494 1292 -3382 8855 -23184 60697 -158906 416020 -1089154 2851443 -7465176 |
Inv | AltSum∑ k=0..n T(n, k) (-1)^k | A001906 | 1 -1 3 -8 21 -55 144 -377 987 -2584 6765 -17711 46368 -121393 317811 -832040 2178309 -5702887 |
Inv | AbsSum∑ k=0..n | T(n, k) | | A001906 | 1 1 3 8 21 55 144 377 987 2584 6765 17711 46368 121393 317811 832040 2178309 5702887 14930352 |
Inv | DiagSum∑ k=0..n // 2 T(n - k, k) | A000079 | 1 0 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 |
Inv | AccSum∑ k=0..n ∑ j=0..k T(n, j) | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 -43 |
Inv | AccRevSum∑ k=0..n ∑ j=0..k T(n, n - j) | A137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 9 -22 13 10 -24 |
Inv | RowLcmLcm k=0..n | T(n, k) | > 1 | A099996 | 1 1 2 12 60 840 2520 27720 360360 720720 12252240 232792560 232792560 5354228880 26771144400 |
Inv | RowGcdGcd k=0..n | T(n, k) | > 1 | A297382 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Inv | RowMaxMax k=0..n | T(n, k) | | missing | 1 1 2 4 10 21 56 126 330 792 2002 5005 12376 31824 77520 203490 497420 1307504 3268760 8436285 |
Inv | ColMiddleT(n, n // 2) | missing | 1 0 -2 3 10 -20 -56 126 330 -792 -2002 5005 12376 -31824 -77520 203490 490314 -1307504 -3124550 |
Inv | CentralET(2 n, n) | A165817 | 1 -2 10 -56 330 -2002 12376 -77520 490314 -3124550 20030010 -129024480 834451800 -5414950296 |
Inv | CentralOT(2 n + 1, n) | missing | 0 3 -20 126 -792 5005 -31824 203490 -1307504 8436285 -54627300 354817320 -2310789600 15084504396 |
Inv | ColLeftT(n, 0) | A000007 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
Inv | ColRightT(n, n) | A000012 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Inv | BinConv∑ k=0..n C(n, k) T(n, k) | A350290 | 1 1 -3 -2 21 -4 -150 155 1029 -2072 -6468 22056 34122 -208857 -106249 1816958 -639067 -14629264 |
Inv | InvBinConv∑ k=0..n C(n, k) T(n, n - k) (-1)^k | A262440 | 1 1 5 22 101 476 2282 11075 54245 267592 1327580 6617128 33110090 166215895 836761343 4222640822 |
Inv | TransNat0∑ k=0..n T(n, k) k | A122918 | 0 1 0 -2 2 1 -4 3 2 -6 4 3 -8 5 4 -10 6 5 -12 7 6 -14 8 7 -16 9 8 -18 10 9 -20 11 10 -22 12 11 -24 |
Inv | TransNat1∑ k=0..n T(n, k) (k + 1) | A137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 9 -22 13 10 -24 |
Inv | TransSqrs∑ k=0..n T(n, k) k^2 | missing | 0 1 2 -4 -2 11 -8 -11 26 -12 -26 47 -16 -47 74 -20 -74 107 -24 -107 146 -28 -146 191 -32 -191 242 |
Inv | PosHalf∑ k=0..n 2^n T(n, k) (1/2)^k | A049072 | 1 1 -3 5 -3 -11 45 -91 93 85 -627 1541 -2115 181 7917 -24475 41757 -27371 -84915 364229 -753027 |
Inv | NegHalf∑ k=0..n (-2)^n T(n, k) (-1/2)^k | A002450 | 1 1 5 21 85 341 1365 5461 21845 87381 349525 1398101 5592405 22369621 89478485 357913941 1431655765 |
Inv | DiagRow1T(n + 1, n) | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 |
Inv | DiagRow2T(n + 2, n) | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 |
Inv | DiagRow3T(n + 3, n) | A002492 | 0 -4 -20 -56 -120 -220 -364 -560 -816 -1140 -1540 -2024 -2600 -3276 -4060 -4960 -5984 -7140 -8436 |
Inv | DiagCol1T(n + 1, 1) | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 |
Inv | DiagCol2T(n + 2, 2) | A000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 |
Inv | DiagCol3T(n + 3, 3) | A000389 | 1 -6 21 -56 126 -252 462 -792 1287 -2002 3003 -4368 6188 -8568 11628 -15504 20349 -26334 33649 |
Inv | Polysee docs | missing | 1 0 1 0 1 1 0 -1 2 1 0 0 0 3 1 0 1 -2 3 4 1 0 -1 0 0 8 5 1 0 0 2 -3 12 15 6 1 0 1 0 -3 16 40 24 7 1 |
Inv | PolyRow1∑ k=0..1 T(1, k) n^k | A000027 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 |
Inv | PolyRow2∑ k=0..2 T(2, k) n^k | A005563 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 |
Inv | PolyRow3∑ k=0..3 T(3, k) n^k | missing | 0 0 -2 0 12 40 90 168 280 432 630 880 1188 1560 2002 2520 3120 3808 4590 5472 6460 7560 8778 10120 |
Inv | PolyCol2∑ k=0..n T(n, k) 2^k | A010673 | 1 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 |
Inv | PolyCol3∑ k=0..n T(n, k) 3^k | A099838 | 1 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 |
Inv | PolyDiag∑ k=0..n T(n, k) n^k | missing | 1 1 0 0 16 275 4680 88543 1883328 44791056 1181184400 34254174229 1084253219280 37213995870493 |
Inv:Rev | TriangleT(n, k), 0 ≤ k ≤ n | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -6 10 -4 0 1 -8 21 -20 5 0 1 -10 36 -56 35 -6 0 1 -12 55 -120 126 -56 7 0 1 |
Inv:Rev | RevT(n, n - k), 0 ≤ k ≤ n | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 |
Inv:Rev | InvRev(T(n, n - k))-1, 0 ≤ k ≤ n | A128899 | 1 0 1 0 2 1 0 5 4 1 0 14 14 6 1 0 42 48 27 8 1 0 132 165 110 44 10 1 0 429 572 429 208 65 12 1 0 |
Inv:Rev | Accsee docs | missing | 1 1 1 1 -1 -1 1 -3 0 0 1 -5 5 1 1 1 -7 14 -6 -1 -1 1 -9 27 -29 6 0 0 1 -11 44 -76 50 -6 1 1 1 -13 |
Inv:Rev | AccRevsee docs | missing | 1 0 1 0 -2 -1 0 3 -1 0 0 -4 6 0 1 0 5 -15 6 -2 -1 0 -6 29 -27 9 -1 0 0 7 -49 77 -43 12 0 1 0 -8 76 |
Inv:Rev | AntiDiagsee docs | missing | 1 1 1 0 1 -2 1 -4 0 1 -6 3 1 -8 10 0 1 -10 21 -4 1 -12 36 -20 0 1 -14 55 -56 5 1 -16 78 -120 35 0 1 |
Inv:Rev | Diffx1T(n, k) (k+1) | missing | 1 1 0 1 -4 0 1 -8 9 0 1 -12 30 -16 0 1 -16 63 -80 25 0 1 -20 108 -224 175 -36 0 1 -24 165 -480 630 |
Inv:Rev | RowSum∑ k=0..n T(n, k) | A329682 | 1 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 |
Inv:Rev | EvenSum∑ k=0..n T(n, k) even(k) | A376716 | 1 1 1 4 11 27 72 189 493 1292 3383 8855 23184 60697 158905 416020 1089155 2851443 7465176 19544085 |
Inv:Rev | OddSum∑ k=0..n T(n, k) odd(k) | missing | 0 0 -2 -4 -10 -28 -72 -188 -494 -1292 -3382 -8856 -23184 -60696 -158906 -416020 -1089154 -2851444 |
Inv:Rev | AltSum∑ k=0..n T(n, k) (-1)^k | A001906 | 1 1 3 8 21 55 144 377 987 2584 6765 17711 46368 121393 317811 832040 2178309 5702887 14930352 |
Inv:Rev | AbsSum∑ k=0..n | T(n, k) | | A001906 | 1 1 3 8 21 55 144 377 987 2584 6765 17711 46368 121393 317811 832040 2178309 5702887 14930352 |
Inv:Rev | DiagSum∑ k=0..n // 2 T(n - k, k) | missing | 1 1 1 -1 -3 -2 3 8 5 -9 -22 -12 27 60 28 -80 -163 -63 235 441 134 -685 -1188 -259 1983 3186 408 |
Inv:Rev | AccSum∑ k=0..n ∑ j=0..k T(n, j) | A137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 9 -22 13 10 -24 |
Inv:Rev | AccRevSum∑ k=0..n ∑ j=0..k T(n, n - j) | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 -43 |
Inv:Rev | RowLcmLcm k=0..n | T(n, k) | > 1 | A099996 | 1 1 2 12 60 840 2520 27720 360360 720720 12252240 232792560 232792560 5354228880 26771144400 |
Inv:Rev | RowGcdGcd k=0..n | T(n, k) | > 1 | A297382 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Inv:Rev | RowMaxMax k=0..n | T(n, k) | | missing | 1 1 2 4 10 21 56 126 330 792 2002 5005 12376 31824 77520 203490 497420 1307504 3268760 8436285 |
Inv:Rev | ColMiddleT(n, n // 2) | missing | 1 1 -2 -4 10 21 -56 -120 330 715 -2002 -4368 12376 27132 -77520 -170544 490314 1081575 -3124550 |
Inv:Rev | CentralET(2 n, n) | A165817 | 1 -2 10 -56 330 -2002 12376 -77520 490314 -3124550 20030010 -129024480 834451800 -5414950296 |
Inv:Rev | CentralOT(2 n + 1, n) | A045721 | 1 -4 21 -120 715 -4368 27132 -170544 1081575 -6906900 44352165 -286097760 1852482996 -12033222880 |
Inv:Rev | ColLeftT(n, 0) | A000012 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Inv:Rev | ColRightT(n, n) | A000007 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
Inv:Rev | BinConv∑ k=0..n C(n, k) T(n, k) | A350290 | 1 1 -3 -2 21 -4 -150 155 1029 -2072 -6468 22056 34122 -208857 -106249 1816958 -639067 -14629264 |
Inv:Rev | InvBinConv∑ k=0..n C(n, k) T(n, n - k) (-1)^k | A262440 | 1 -1 5 -22 101 -476 2282 -11075 54245 -267592 1327580 -6617128 33110090 -166215895 836761343 |
Inv:Rev | TransNat1∑ k=0..n T(n, k) (k + 1) | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 -43 |
Inv:Rev | TransSqrs∑ k=0..n T(n, k) k^2 | missing | 0 0 -2 8 -2 -24 40 -4 -70 96 -6 -140 176 -8 -234 280 -10 -352 408 -12 -494 560 -14 -660 736 -16 |
Inv:Rev | PosHalf∑ k=0..n 2^n T(n, k) (1/2)^k | A010673 | 1 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 |
Inv:Rev | NegHalf∑ k=0..n (-2)^n T(n, k) (-1/2)^k | A052530 | 1 -2 8 -30 112 -418 1560 -5822 21728 -81090 302632 -1129438 4215120 -15731042 58709048 -219105150 |
Inv:Rev | DiagRow1T(n + 1, n) | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 |
Inv:Rev | DiagRow2T(n + 2, n) | A000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 |
Inv:Rev | DiagRow3T(n + 3, n) | A000389 | 1 -6 21 -56 126 -252 462 -792 1287 -2002 3003 -4368 6188 -8568 11628 -15504 20349 -26334 33649 |
Inv:Rev | DiagCol1T(n + 1, 1) | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 |
Inv:Rev | DiagCol2T(n + 2, 2) | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 |
Inv:Rev | DiagCol3T(n + 3, 3) | A002492 | 0 -4 -20 -56 -120 -220 -364 -560 -816 -1140 -1540 -2024 -2600 -3276 -4060 -4960 -5984 -7140 -8436 |
Inv:Rev | Polysee docs | missing | 1 1 1 1 1 1 1 -1 1 1 1 0 -3 1 1 1 1 5 -5 1 1 1 -1 -3 16 -7 1 1 1 0 -11 -35 33 -9 1 1 1 1 45 31 -119 |
Inv:Rev | PolyRow1∑ k=0..1 T(1, k) n^k | A000012 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
Inv:Rev | PolyRow2∑ k=0..2 T(2, k) n^k | A005408 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 |
Inv:Rev | PolyRow3∑ k=0..3 T(3, k) n^k | A045944 | 1 0 5 16 33 56 85 120 161 208 261 320 385 456 533 616 705 800 901 1008 1121 1240 1365 1496 1633 |
Inv:Rev | PolyCol2∑ k=0..n T(n, k) 2^k | A049072 | 1 1 -3 5 -3 -11 45 -91 93 85 -627 1541 -2115 181 7917 -24475 41757 -27371 -84915 364229 -753027 |
Inv:Rev | PolyCol3∑ k=0..n T(n, k) 3^k | A190970 | 1 1 -5 16 -35 31 160 -1079 3955 -10064 14725 16951 -217280 933841 -2713685 5163856 -1396115 |
Inv:Rev | PolyDiag∑ k=0..n T(n, k) n^k | missing | 1 1 -3 16 -119 1111 -12155 146329 -1770735 16657264 108903421 -16239940441 854302763545 |
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Note: The A-numbers are based on a finite number of numerical comparisons. They ignore the sign and the OEIS-offset. Sometimes they differ in the first few values. In such cases, we consider our version to be the better one because it has a common formula as a root. Since the offset of all triangles is 0 also the offset of all sequences is 0.