%I #5 Jun 13 2017 23:05:08
%S 1,9,81,879,11739,190044,3654814,81947221,2107962168,61366149296,
%T 1998607800064,72112467306074,2858551691428042,123596917897265255,
%U 5792708223233376744,292682081981049699408,15865848522184194142469
%N Column 1 of triangle A113360, which equals the matrix cube of triangle A113340.
%o (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);(A^3)[n+2,2]
%Y Cf. A113340, A113350, A113360 (A113340^3), A113341 (column 0), A113362 (column 2), A113363 (column 3), A113364 (column 4).
%K nonn
%O 0,2
%A _Paul D. Hanna_, Nov 08 2005