cp's OEIS Frontend

A113112 Triangle T, read by rows, equal to the matrix 4th power of triangle A113106, which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) + [A113106^5](n-1,k).

%I A113112 #5 Mar 14 2015 10:05:56
%S A113112 1,4,1,56,24,1,2704,1576,124,1,481376,346624,39376,624,1,337587520,
%T A113112 284081376,41686624,979376,3124,1,978162377600,927672109184,
%U A113112 165184873376,5122890624,24434376,15624,1,12088945462984960
%N A113112 Triangle T, read by rows, equal to the matrix 4th power of triangle A113106, which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) + [A113106^5](n-1,k).
%e A113112 Triangle begins:
%e A113112 1;
%e A113112 4,1;
%e A113112 56,24,1;
%e A113112 2704,1576,124,1;
%e A113112 481376,346624,39376,624,1;
%e A113112 337587520,284081376,41686624,979376,3124,1;
%e A113112 978162377600,927672109184,165184873376,5122890624,24434376,15624,1;
%o A113112 (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^5)[r-1,c-1])+(M^5)[r-1,c]))); return((M^4)[n+1,k+1])}
%Y A113112 Cf. A113106, A113108, A113110.
%K A113112 nonn,tabl
%O A113112 0,2
%A A113112 _Paul D. Hanna_, Oct 14 2005