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A113114 Triangle T, read by rows, equal to the matrix 5th power of triangle A113106, which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) + [A113106^5](n-1,k). 1
1, 5, 1, 85, 30, 1, 4985, 2435, 155, 1, 1082905, 662060, 61310, 780, 1, 930005021, 671754405, 80861810, 1528810, 3905, 1, 3306859233805, 2718081933706, 399334065655, 9987138060, 38169435, 19530, 1, 50220281721033905 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Column 0 equals A113107 shift one place left.

LINKS

Table of n, a(n) for n=0..28.

EXAMPLE

Triangle begins:

1;

5,1;

85,30,1;

4985,2435,155,1;

1082905,662060,61310,780,1;

930005021,671754405,80861810,1528810,3905,1;

3306859233805,2718081933706,399334065655,9987138060,38169435,19530,1;

PROG

(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^5)[n+1, k+1])}

CROSSREFS

Cf. A113106, A113108, A113110, A113112.

Sequence in context: A251596 A294258 A294260 * A099740 A133002 A272755

Adjacent sequences:  A113111 A113112 A113113 * A113115 A113116 A113117

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna, Oct 14 2005

STATUS

approved

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Last modified November 13 17:34 EST 2019. Contains 329106 sequences. (Running on oeis4.)