A113359 Column 3 of triangle A113355, also equals column 0 of A113355^4.

1, 16, 264, 4912, 104476, 2531004, 69265724, 2122120824, 72160283026, 2702008172582, 110631977612048, 4922281897250776, 236665779016591350, 12236187035970192634, 677311496213007409312, 39980910968200568816168

Offset: 0

Author

Paul D. Hanna, Nov 08 2005

Keywords

• nonn

Comments

A113355 equals the matrix square of A113350, where column 3 of A113350^2 = column 0 of A113350^8.

Crossrefs

Cf. A113340, A113350, A113355, A113356 (column 0), A113357 (column 1), A113358 (column 2).

Programs

PARI

a(n)=local(A,B);A=matrix(1,1);A[1,1]=1;for(m=2,n+4,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^(2*j-1))[i-j+1,1]));));A=B); (matrix(#A,#A,r,c,if(r>=c,(A^(2*c))[r-c+1,1]))^2)[n+4,4]