A113346 - OEIS

%I #5 Jun 13 2017 22:50:23

%S 1,2,5,19,113,966,10958,156700,2727794,56306696,1350043965,

%T 36979531549,1141573025172,39272377323693,1491452150268436,

%U 62027842189908231,2805631215820328992,137199563717151509077,7215932308408758314447

%N Column 0 of triangle A113345, also equals column 0 of A113350.

%C A113345 is the matrix square of A113340.

%o (PARI) a(n)=local(A,B);A=matrix(1,1);A[1,1]=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^(2*j-1))[i-j+1,1]));));A=B);(A^2)[n+1,1]

%Y Cf. A113340, A113345, A113347 (column 1), A113348 (column 2), A113349 (column 3); A113350.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 08 2005