A111847 - OEIS

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A111847

Row sums of triangle A111845, which shifts columns left and up under matrix 4th power.

1, 2, 9, 97, 2689, 214017, 53130241, 43283609601, 119521939222529, 1144341237628100609, 38638551719263573098497, 4662529388979590206324834305, 2032489532637330252763496597356545

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..12.

PROG

(PARI) {a(n, q=4)=local(A=Mat(1), B); if(n<0, 0, for(m=1, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, if(j==1, B[i, j]=(A^q)[i-1, 1], B[i, j]=(A^q)[i-1, j-1])); )); A=B); return(sum(k=0, n, A[n+1, k+1])))}

CROSSREFS

Cf. A111845 (triangle), A078537 (variant).

Sequence in context: A345466 A115965 A001142 * A013132 A317275 A013057

Adjacent sequences: A111844 A111845 A111846 * A111848 A111849 A111850

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Aug 23 2005

STATUS

approved