A091352 Row sums of triangle A091351, in which the k-th column lists the row sums of the k-th power of A091351 (when considered as a lower triangular matrix).

1, 2, 4, 9, 24, 77, 295, 1329, 6934, 41351, 278680, 2101434, 17574552, 161740316, 1626733108, 17771416521, 209739328924, 2661301094008, 36148700652163, 523597247829867, 8059284921781892, 131408547139817541, 2263280568439911740, 41068707443671927029, 783265035660376276292, 15666944424310348150277

Offset

0,2

Comments

Equals column 1 of table A125781. Equals row sums and column 0 (shifted) of triangle A127420. - Paul D. Hanna, Feb 11 2007

Links

Paul D. Hanna, Table of n, a(n) for n = 0..300

Prog

(PARI) \\ Using Matrix Products
{A091351(n, k) = my(M=matrix(2, 2, r, c, if(r>=c, 1)), D, L); for(i=2, n,
\\ D = M shift down 1 row
D = matrix(#M+1, #M+1, r, c, if(r==1, 0, if(c>#M, 0, M[r-1, c])) );
\\ L = New matrix, shifted left 1 column
L = D + D^2;
\\ New matrix = L shifted right 1 column
M = matrix(#M+1, #M+1, r, c, if(c==1, 1, L[r, c-1]) ));
TM = M; M[n+1, k+1]}
\\ Print up to n terms of column 1 of triangle A091351
{upto(n) = A091351(n+1, 1); for(r=0, n, print1(TM[r+2, 2], ", "))}
upto(25) \\ Paul D. Hanna, Jul 15 2026

Crossrefs

Cf. A091351, A091353, A091354.

Cf. A125781, A127420.

Sequence in context: A301927 A000667 A131351 * A135934 A343032 A210342

Adjacent sequences: A091349 A091350 A091351 * A091353 A091354 A091355

Keyword

nonn,changed

Author

Paul D. Hanna, Jan 02 2004

Status

approved