cp's OEIS Frontend

A113097 Triangle T, read by rows, equal to the matrix square of triangle A113095, which satisfies the recurrence: A113095(n,k) = [A113095^4](n-1,k-1) + [A113095^4](n-1,k).

%I A113097 #3 Mar 30 2012 18:36:51
%S A113097 1,2,1,13,10,1,242,237,42,1,13228,15296,3741,170,1,2241527,2930006,
%T A113097 893528,58909,682,1,1237069018,1775967132,637702746,54501208,935709,
%U A113097 2730,1,2305369985312,3563503353790,1451785389252,151058838746
%N A113097 Triangle T, read by rows, equal to the matrix square of triangle A113095, which satisfies the recurrence: A113095(n,k) = [A113095^4](n-1,k-1) + [A113095^4](n-1,k).
%e A113097 Triangle begins:
%e A113097 1;
%e A113097 2,1;
%e A113097 13,10,1;
%e A113097 242,237,42,1;
%e A113097 13228,15296,3741,170,1;
%e A113097 2241527,2930006,893528,58909,682,1;
%e A113097 1237069018,1775967132,637702746,54501208,935709,2730,1; ...
%o A113097 (PARI) {T(n,k)=local(M=matrix(n+1,n+1));for(r=1,n+1, for(c=1,r, M[r,c]=if(r==c,1,if(c>1,(M^4)[r-1,c-1])+(M^4)[r-1,c]))); return((M^2)[n+1,k+1])}
%Y A113097 Cf. A113098 (column 0), A113095, A113099.
%K A113097 nonn,tabl
%O A113097 0,2
%A A113097 _Paul D. Hanna_, Oct 14 2005