A125170 - OEIS

A125170

Binomial transform of an infinite lower triangular matrix with (1,1,2,4,8,...) in every column and the rest zeros. Let the left column = A007051, then for k > 1, T(n,k) = (n-1,k) + (n-1,k-1).

1, 2, 1, 5, 3, 1, 14, 8, 4, 1, 41, 22, 12, 5, 1, 122, 63, 34, 17, 6, 1, 365, 185, 97, 51, 23, 7, 1, 1094, 550, 282, 148, 74, 30, 8, 1, 3281, 1644, 832, 430, 222, 104, 38, 9, 1

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..44.

EXAMPLE

(5,3) = 34 = 12 + 22 = (4,3) + (4,2).

First few rows of the triangle:

2, 1;

5, 3, 1;

14, 8, 4, 1;

41, 22, 12, 5, 1;