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A105557 Row sums of triangle A105556, in which column n equals the row sums of A001263^n, which is the n-th matrix power of the Narayana triangle A001263. +0
2
1, 2, 4, 10, 32, 128, 626, 3681, 25574, 206402, 1908996, 20024149, 236142157, 3106393358, 45265833590, 726249472784, 12761749378320, 244453274012442, 5082582988294164, 114258645210526486, 2767462674168199303 (list; graph; listen)
OFFSET

0,2

PROGRAM

(PARI) {a(n)=local(N=matrix(n+1, n+1, m, j, if(m>=j, binomial(m-1, j-1)*binomial(m, j-1)/j))); sum(k=0, n, sum(j=0, n-k, (N^k)[n-k+1, j+1]))}

CROSSREFS

Cf. A001263, A105556.

Sequence in context: A098830 A121277 A009284 this_sequence A166741 A054091 A056593

Adjacent sequences: A105554 A105555 A105556 this_sequence A105558 A105559 A105560

KEYWORD

nonn

AUTHOR

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

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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