A125170 - OEIS

%I #12 Feb 14 2022 03:54:56

%S 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,

%T 7,1,1094,550,282,148,74,30,8,1,3281,1644,832,430,222,104,38,9,1

%N 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).

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

%e First few rows of the triangle:

%e     1;

%e     2,  1;

%e     5,  3,  1;

%e    14,  8,  4,  1;

%e    41, 22, 12,  5, 1;

%e   122, 63, 34, 17, 6, 1;

%e   ...

%Y Cf. A000244 (row sums), A007051 (left border).

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Nov 22 2006

%E Edited by _N. J. A. Sloane_, Oct 07 200