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A113360 Matrix cube of triangle A113340.

%I A113360 #5 Jun 13 2017 23:05:10
%S A113360 1,3,1,12,9,1,69,81,15,1,560,879,210,21,1,6059,11739,3285,399,27,1,
%T A113360 83215,190044,59395,8127,648,33,1,1399161,3654814,1241270,184436,
%U A113360 16245,957,39,1,28020221,81947221,29720808,4695719,442890,28479,1326,45,1
%N A113360 Matrix cube of triangle A113340.
%e A113360 Triangle begins:
%e A113360 1;
%e A113360 3,1;
%e A113360 12,9,1;
%e A113360 69,81,15,1;
%e A113360 560,879,210,21,1;
%e A113360 6059,11739,3285,399,27,1;
%e A113360 83215,190044,59395,8127,648,33,1;
%e A113360 1399161,3654814,1241270,184436,16245,957,39,1;
%e A113360 28020221,81947221,29720808,4695719,442890,28479,1326,45,1; ...
%o A113360 (PARI) T(n,k)=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^3)[n+1,k+1]
%Y A113360 Cf. A113340, A113350, A113361 (column 1), A113362 (column 2), A113363 (column 3), A113364 (column 4); A113345 (A113340^2).
%K A113360 nonn,tabl
%O A113360 0,2
%A A113360 _Paul D. Hanna_, Nov 08 2005