A113357 Column 1 of triangle A113355, also equals column 0 of A113355^2.

1, 8, 68, 712, 9270, 147174, 2786270, 61662544, 1568627031, 45226595865, 1460494997316, 52298603045920, 2059014449303471, 88476000281671109, 4123177399591735062, 207239886694280045429, 11179817701706220363653

Offset: 0

Author

Paul D. Hanna, Nov 08 2005

Keywords

• nonn

Comments

A113355 equals the matrix square of A113350, where column 1 of A113350^2 = column 0 of A113350^4.

Crossrefs

Cf. A113340, A113350, A113355, A113356 (column 0), A113358 (column 2), A113359 (column 3).

Programs

PARI

a(n)=local(A,B);A=matrix(1,1);A[1,1]=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^(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+2,2]