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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.
1
1, 2, 4, 10, 32, 128, 626, 3681, 25574, 206402, 1908996, 20024149, 236142157, 3106393358, 45265833590, 726249472784, 12761749378320, 244453274012442, 5082582988294164, 114258645210526486, 2767462674168199303
OFFSET
0,2
PROG
(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
Sequence in context: A098830 A121277 A009284 * A166741 A054091 A056593
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 14 2005
STATUS
approved