The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #5 Jun 13 2017 23:21:17
%S 1,18,297,5349,109095,2529909,66345668,1951815218,63879120597,
%T 2307569048308,91351738972187,3937843359099176,183778364128820499,
%U 9238674078250458082,497996763423626058847,28666454637876852704364
%N Column 2 of triangle A113365, also equals column 1 of A113340^6.
%C A113365 equals the matrix cube of A113350, where column 2 of A113350^3 = column 1 of A113340^6.
%o (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]
%Y Cf. A113340, A113350, A113365 (=A113350^3), A113346 (column 0), A113366 (column 1).
%K nonn
%O 0,2
%A _Paul D. Hanna_, Nov 09 2005