A113367 Column 2 of triangle A113365, also equals column 1 of A113340^6.

1, 18, 297, 5349, 109095, 2529909, 66345668, 1951815218, 63879120597, 2307569048308, 91351738972187, 3937843359099176, 183778364128820499, 9238674078250458082, 497996763423626058847, 28666454637876852704364

Offset: 0

Author

Paul D. Hanna, Nov 09 2005

Keywords

• nonn

Comments

A113365 equals the matrix cube of A113350, where column 2 of A113350^3 = column 1 of A113340^6.

Crossrefs

Cf. A113340, A113350, A113365 (=A113350^3), A113346 (column 0), A113366 (column 1).

Programs

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]))^3)[n+3,3]