Search: id:A113110
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%I A113110
%S A113110 1,3,1,33,18,1,1251,903,93,1,173505,151716,22278,468,1,94216515,
%T A113110 94758285,17789766,551778,2343,1,210576669921,235461277878,53137278735,
%U A113110 2167944516,13749903,11718,1,2002383115518243,2432344424403219
%N A113110 Triangle T, read by rows, equal to the matrix cube of triangle A113106, 
               which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) 
               + [A113106^5](n-1,k).
%e A113110 Triangle begins:
%e A113110 1;
%e A113110 3,1;
%e A113110 33,18,1;
%e A113110 1251,903,93,1;
%e A113110 173505,151716,22278,468,1;
%e A113110 94216515,94758285,17789766,551778,2343,1;
%e A113110 210576669921,235461277878,53137278735,2167944516,13749903,11718,1;
%o A113110 (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^3)[n+1,k+1])}
%Y A113110 Cf. A113106.
%Y A113110 Sequence in context: A016481 A047815 A095844 this_sequence A109842 A103242 
               A050817
%Y A113110 Adjacent sequences: A113107 A113108 A113109 this_sequence A113111 A113112 
               A113113
%K A113110 nonn,tabl
%O A113110 0,2
%A A113110 Paul D. Hanna (pauldhanna(AT)juno.com), Oct 14 2005

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