A185631 Row sums of triangle A185628.

1, 4, 10, 32, 137, 766, 5382, 46022, 467206, 5519252, 74629263, 1139283601, 19411643752, 365595475542, 7548810986515, 169681672611815, 4126880020198630, 108026180912533227, 3029184083924476085, 90617948406514693702, 2881333799993441893564, 97057552263114611503090

Offset

0,2

Comments

Triangle A185628 equals the matrix cube of triangle R = A185620, which satisfies: R^3 - R^2 + I = R shifted left one column.

Links

Table of n, a(n) for n=0..21.

Prog

 (PARI) {a(n)=local(A=Mat(1), B); for(m=1, n+1, B=A^3-A^2+A^0; A=matrix(m+1, m+1); for(i=1, m+1, for(j=1, i, if(i<2|j==i, A[i, j]=1, if(j==1, A[i, j]=1, A[i, j]=B[i-1, j-1]))))); return(sum(k=1, n+1, (A^3)[n+1, k]))}

Crossrefs

Cf. A185620, A185628, A185629, A185630.

Sequence in context: A151746 A378858 A110145 * A174520 A179654 A162427

Adjacent sequences: A185628 A185629 A185630 * A185632 A185633 A185634

Keyword

nonn

Author

Paul D. Hanna, Sep 07 2011

Status

approved