cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A113393 Column 1 of triangle A113392, also equals column 0 of A113381^6.

This page as a plain text file.
%I A113393 #5 Jun 13 2017 23:30:40
%S A113393 1,6,48,605,11196,280440,8981460,353283128,16567072675,905357065354,
%T A113393 56632746126107,3997082539456084,314584709388906568,
%U A113393 27340439653453247728,2602372304420672868499,269388182085308601450047
%N A113393 Column 1 of triangle A113392, also equals column 0 of A113381^6.
%F A113393 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 A113393 (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 A113393 Cf. A113392, A113389, A113381, A113388 (column 0).
%K A113393 nonn
%O A113393 0,2
%A A113393 _Paul D. Hanna_, Nov 14 2005