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Column 1 of triangle A113392, also equals column 0 of A113381^6.
1

%I #5 Jun 13 2017 23:30:40

%S 1,6,48,605,11196,280440,8981460,353283128,16567072675,905357065354,

%T 56632746126107,3997082539456084,314584709388906568,

%U 27340439653453247728,2602372304420672868499,269388182085308601450047

%N Column 1 of triangle A113392, also equals column 0 of A113381^6.

%F A113392 equals the matrix square of A113389, which has the property: Column k of A113389^2 = column 0 of A113381^(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); (matrix(#A,#A,r,c,if(r>=c,(A^(3*c))[r-c+1,1]))^2)[n+1,1]

%Y Cf. A113392, A113389, A113381, A113388 (column 0).

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 14 2005