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

0,2

Comments

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

Links

Table of n, a(n) for n=0..15.

Prog

(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]

Crossrefs

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

Sequence in context: A180809 A240633 A068770 * A236516 A187453 A333903

Adjacent sequences: A113356 A113357 A113358 * A113360 A113361 A113362

Keyword

nonn

Author

Paul D. Hanna, Nov 08 2005

Status

approved