A126136 Binomial transform of A107430.

1, 2, 1, 4, 3, 2, 8, 7, 9, 3, 16, 15, 28, 16, 6, 32, 31, 75, 55, 40, 10, 64, 63, 186, 156, 165, 75, 20, 128, 127, 441, 399, 546, 336, 175, 35, 256, 255, 1016, 960, 1596, 1176, 896, 336, 70, 512, 511, 2295, 2223, 4320, 3564, 3528, 1848, 756, 126, 1024, 1023, 5110, 5020, 11115, 9855, 11880, 7680, 4620, 1470, 252

Offset

0,2

Comments

Row sums = powers of 3.

Links

Table of n, a(n) for n=0..65.

Formula

Given M = A107430 as an infinite lower triangular matrix and P = Pascal's triangle, A126136 = P*M.

Example

First few rows of the triangle are:
1;
2, 1;
4, 3, 2;
8, 7, 9, 3;
16, 15, 28, 16, 6;
32, 31, 75, 55, 40, 10;
...

Prog

(PARI) tabl(nn) = {p = matrix(nn+1, nn+1, n, k, binomial(n-1, k-1)); m = matrix(nn+1, nn+1, n, k, if (k<=n, binomial(n-1, (k-1)\2), 0)); r = p*m; for (n=0, nn, for (k=0, n, print1(r[n+1, k+1], ", "); ); print(); ); } \\ Michel Marcus, Jul 03 2017

Crossrefs

Cf. A107430.

Columns : A000079, A000225, A058877, A027540

Sequence in context: A243610 A182013 A144333 * A140169 A124731 A210658

Adjacent sequences: A126133 A126134 A126135 * A126137 A126138 A126139

Keyword

nonn,tabl

Author

Gary W. Adamson, Dec 18 2006

Extensions

More terms from Philippe Deléham, Jul 02 2017

Status

approved