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%I #5 Jun 13 2017 23:21:10
%S 1,4,28,326,5702,136724,4226334,161385532,7378504140,394404094270,
%T 24193638303234,1677962100799727,129990908689219749,
%U 11135889051081255518,1046032727101344902679,106966601176207198837104
%N Column 1 of triangle A113370, also equals column 0 of A113370^4.
%C Column k of A113370 = column 0 of A113370^(3*k+1) for k>=0.
%o (PARI) a(n)=local(A,B);A=Mat(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^(3*j-2))[i-j+1,1]));));A=B);A[n+2,2]
%Y Cf. A113370, A113372 (column 2), A113373 (column 3).
%K nonn
%O 0,2
%A _Paul D. Hanna_, Nov 13 2005