A113380 Column 1 of triangle A113378, also equals column 0 of A113389^4.

1, 12, 168, 3190, 80136, 2553162, 99579994, 4624245724, 250138459808, 15488221792442, 1082305443525010, 84364431201000877, 7264439969560330768, 685338322012632405151, 70341947440289270101707

Offset: 0

Author

Paul D. Hanna, Nov 14 2005

Keywords

• nonn

Crossrefs

Cf. A113378, A113370, A113389, A113379 (column 0).

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^3)[n+2,2]

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.