A113383 Column 2 of triangle A113381, also equals column 0 of A113370^8.

1, 8, 120, 2556, 71548, 2508528, 106427700, 5323786728, 307710142888, 20222341451124, 1491479257952300, 122128352186849366, 11002901720698439826, 1082337197005046142588, 115485905212456384697750

Offset: 0

Author

Paul D. Hanna, Nov 14 2005

Keywords

• nonn

Crossrefs

Cf. A113381, A113375 (column 0), A113382 (column 1), A113370.

Programs

PARI

a(n)=local(A,B);A=Mat(1);for(m=2,n+2,B=matrix(m,m); for(i=1,m, for(j=1,i,if(i<3 || j==i || j>m-1,B[i,j]=1,if(j==1, B[i,1]=1,B[i,j]=(A^(3*j-2))[i-j+1,1]));));A=B);(A^8)[n+1,1]

Formula

Column k of A113381 = column 0 of A113370^(3*k+2) for k>=0.