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A185631 Row sums of triangle A185628. 3
1, 4, 10, 32, 137, 766, 5382, 46022, 467206, 5519252, 74629263, 1139283601, 19411643752, 365595475542, 7548810986515, 169681672611815, 4126880020198630, 108026180912533227, 3029184083924476085, 90617948406514693702, 2881333799993441893564, 97057552263114611503090 (list; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A196991 A151746 A110145 * A174520 A179654 A162427
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Sep 07 2011
STATUS
approved

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Last modified March 3 08:08 EST 2024. Contains 370499 sequences. (Running on oeis4.)