A113379 Column 0 of triangle A113378, also equals column 0 of A113389.

1, 3, 15, 136, 1998, 41973, 1166263, 40747561, 1726907675, 86421647389, 5002021986418, 329382745551946, 24351172588548270, 1999205882982496161, 180613538916429940159, 17817366508243503227269

Offset: 0

Author

Paul D. Hanna, Nov 14 2005

Keywords

• nonn

Crossrefs

Cf. A113378, A113370, A113389, A113380 (column 1).

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^3)[n+1,1]

Formula

A113378 equals the matrix cube of A113370, which has the property: column k of A113370^3 = column 0 of A113389^(3*k+1) for k>=0.