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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). +0
5
1, 3, 1, 33, 18, 1, 1251, 903, 93, 1, 173505, 151716, 22278, 468, 1, 94216515, 94758285, 17789766, 551778, 2343, 1, 210576669921, 235461277878, 53137278735, 2167944516, 13749903, 11718, 1, 2002383115518243, 2432344424403219 (list; table; graph; listen)
OFFSET

0,2

EXAMPLE

Triangle begins:

1;

3,1;

33,18,1;

1251,903,93,1;

173505,151716,22278,468,1;

94216515,94758285,17789766,551778,2343,1;

210576669921,235461277878,53137278735,2167944516,13749903,11718,1;

PROGRAM

(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])}

CROSSREFS

Cf. A113106.

Adjacent sequences: A113107 A113108 A113109 this_sequence A113111 A113112 A113113

Sequence in context: A016481 A047815 A095844 this_sequence A109842 A103242 A050817

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 14 2005

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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