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

Author

Gary W. Adamson, Dec 18 2006

Keywords

• nonn
• tabl

Comments

Row sums = powers of 3.

Examples

			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;
...
		

Crossrefs

Cf. A107430.

Columns : A000079, A000225, A058877, A027540

Programs

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

Formula

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

Extensions

More terms from Philippe Deléham, Jul 02 2017