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.
%I A113099 #3 Mar 30 2012 18:36:51 %S A113099 1,3,1,27,15,1,693,513,63,1,52812,47619,8289,255,1,12628008,13176189, %T A113099 2920527,131841,1023,1,9924266772,11586274263,3078907929,181929087, %U A113099 2101761,4095,1,26507035453923,33825995695125,10365262415703 %N A113099 Triangle T, read by rows, equal to the matrix cube of triangle A113095, which satisfies the recurrence: A113095(n,k) = [A113095^4](n-1,k-1) + [A113095^4](n-1,k). %e A113099 Triangle begins: %e A113099 1; %e A113099 3,1; %e A113099 27,15,1; %e A113099 693,513,63,1; %e A113099 52812,47619,8289,255,1; %e A113099 12628008,13176189,2920527,131841,1023,1; %e A113099 9924266772,11586274263,3078907929,181929087,2101761,4095,1; ... %o A113099 (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^3)[n+1,k+1])} %Y A113099 Cf. A113095, A113098, A113101. %K A113099 nonn,tabl %O A113099 0,2 %A A113099 _Paul D. Hanna_, Oct 14 2005