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

Offset: 0

Author

Paul D. Hanna, Aug 23 2005

Keywords

• nonn

Crossrefs

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

Programs

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])))}