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%I #5 Jun 13 2017 23:30:45
%S 1,6,66,1091,24891,737061,27110418,1199197442,62240034172,
%T 3718021355407,251730371459590,19076604651022143,1601423150451641820,
%U 147628858305489901288,14834881996161804192069
%N Column 1 of triangle A113389, also equals column 0 of A113370^6.
%F Column k of A113389 = column 0 of A113370^(3*k+3) for k>=0.
%o (PARI) a(n)=local(A,B);A=Mat(1);for(m=2,n+1,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^(3*j-2))[i-j+1,1]));));A=B);(A^6)[n+1,1]
%Y Cf. A113389, A113378 (column 0), A113391 (column 2), A113370.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Nov 14 2005
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