A113382 Column 1 of triangle A113381, also equals column 0 of A113370^5.

1, 5, 45, 635, 12815, 343815, 11651427, 480718723, 23489845779, 1330745268401, 85944092769721, 6242138253088466, 504185328302302736, 44867722807185829082, 4364538423763543903228, 460969199012824227856506

Offset: 0

Author

Paul D. Hanna, Nov 14 2005

Keywords

• nonn

Crossrefs

Cf. A113381, A113375 (column 0), A113383 (column 2), A113370.

Programs

PARI

a(n)=local(A,B);A=Mat(1);for(m=2,n+1,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^5)[n+1,1]

Formula

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