| Binomial |
|
|
| Triangle |
A007318 |
[1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 ] |
| Reverse |
A007318 |
[1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 ] |
| Inverse |
A007318 |
[1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 15 ] |
| RevInv |
A007318 |
[1 1 -1 1 -2 1 1 -3 3 -1 1 -4 6 -4 1 1 -5 10 -10 5 -1 1 -6 15 -20 15 ] |
| InvRev |
A007318 |
[1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 15 ] |
| DiagTri |
A011973 |
[1 1 1 1 1 2 1 3 1 1 4 3 1 5 6 1 1 6 10 4 1 7 15 10 1 1 8 21 20 5 1 9 ] |
| PolyTri |
A009998 |
[1 1 1 1 2 1 1 4 3 1 1 8 9 4 1 1 16 27 16 5 1 1 32 81 64 25 6 1 1 64 ] |
| Sum |
A000079 |
[1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 ] |
| EvenSum |
A011782 |
[1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 ] |
| OddSum |
A131577 |
[0 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 ] |
| AltSum |
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 ] |
| DiagSum |
A000045 |
[1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 ] |
| Middle |
A001405 |
[1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 ] |
| Central |
A000984 |
[1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 ] |
| LeftSide |
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 ] |
| RightSide |
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 ] |
| PosHalf |
A000244 |
[1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 ] |
| NegHalf |
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 ] |
| PolyVal2 |
A000244 |
[1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 ] |
| PolyVal3 |
A000302 |
[1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 ] |
| PolyValn |
A000169 |
[1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 ] |
| BinConv |
A000984 |
[1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 ] |
| IBinConv |
A126869 |
[1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 ] |
| TransSqrs |
A001788 |
[0 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 ] |
| TransNat0 |
A001787 |
[0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 ] |
| TransNat1 |
A001792 |
[1 3 8 20 48 112 256 576 1280 2816 6144 13312 28672 61440 131072 ] |