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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). 3

%I #3 Mar 30 2012 18:36:51

%S 1,3,1,27,15,1,693,513,63,1,52812,47619,8289,255,1,12628008,13176189,

%T 2920527,131841,1023,1,9924266772,11586274263,3078907929,181929087,

%U 2101761,4095,1,26507035453923,33825995695125,10365262415703

%N 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 Triangle begins:

%e 1;

%e 3,1;

%e 27,15,1;

%e 693,513,63,1;

%e 52812,47619,8289,255,1;

%e 12628008,13176189,2920527,131841,1023,1;

%e 9924266772,11586274263,3078907929,181929087,2101761,4095,1; ...

%o (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 Cf. A113095, A113098, A113101.

%K nonn,tabl

%O 0,2

%A _Paul D. Hanna_, Oct 14 2005

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)