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

Author

Paul D. Hanna, Sep 07 2011

Keywords

• nonn

Comments

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

Crossrefs

Cf. A185620, A185628, A185629, A185630.

Programs

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]))}