cp's OEIS Frontend

A113088 Triangle T, read by rows, equal to the matrix square of triangle A113084, which satisfies the recurrence: A113084(n,k) = [A113084^3](n-1,k-1) + [A113084^3](n-1,k).

%I A113088 #3 Mar 30 2012 18:36:51
%S A113088 1,2,1,10,8,1,114,118,26,1,2970,3668,1108,80,1,182402,257122,96416,
%T A113088 9964,242,1,27392682,42821472,18871894,2501468,89182,728,1,
%U A113088 10390564242,17650889358,8826033518,1412198686,65914154,799714,2186,1
%N A113088 Triangle T, read by rows, equal to the matrix square of triangle A113084, which satisfies the recurrence: A113084(n,k) = [A113084^3](n-1,k-1) + [A113084^3](n-1,k).
%e A113088 Triangle begins:
%e A113088 1;
%e A113088 2,1;
%e A113088 10,8,1;
%e A113088 114,118,26,1;
%e A113088 2970,3668,1108,80,1;
%e A113088 182402,257122,96416,9964,242,1;
%e A113088 27392682,42821472,18871894,2501468,89182,728,1; ...
%o A113088 (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^3)[r-1,c-1])+(M^3)[r-1,c]))); return((M^2)[n+1,k+1])}
%Y A113088 Cf. A113084, A113081.
%K A113088 nonn,tabl
%O A113088 0,2
%A A113088 _Paul D. Hanna_, Oct 14 2005