A113376 Column 1 of triangle A113374, also equals column 0 of A113381^4.

1, 8, 84, 1296, 27850, 784146, 27630378, 1177691946, 59169833470, 3434258845248, 226594550768662, 16775755397765720, 1378646430074005827, 124636321499378130839, 12300850874338422058685

Offset: 0

Author

Paul D. Hanna, Nov 14 2005

Keywords

• nonn

Crossrefs

Cf. A113374, A113375 (column 0), A113377 (column 2).

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^2)[n+2,2]

Formula

A113374 equals the matrix square of A113370, which has the property: column k of A113370^2 = column 0 of A113381^(3*k+1) for k>=0.