A113358 Column 2 of triangle A113355, also equals column 0 of A113355^3.

1, 12, 150, 2184, 37523, 754171, 17502145, 462930509, 13792292332, 458112945183, 16812390472566, 676432435584855, 29635374525536866, 1405425902409792025, 71770681806834337871, 3928431507732054301085, 229528875492540329214765

Offset

0,2

Comments

A113355 equals the matrix square of A113350, where column 2 of A113350^2 = column 0 of A113350^6.

Links

Table of n, a(n) for n=0..16.

Prog

(PARI) a(n)=local(A, B); A=matrix(1, 1); A[1, 1]=1; for(m=2, n+3, 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+3, 3]

Crossrefs

Cf. A113340, A113350, A113355, A113356 (column 0), A113357 (column 1), A113359 (column 3).

Sequence in context: A068768 A053507 A060917 * A293153 A015611 A127650

Adjacent sequences: A113355 A113356 A113357 * A113359 A113360 A113361

Keyword

nonn

Author

Paul D. Hanna, Nov 08 2005

Status

approved