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, 2, 4, 10, 32, 128, 626, 3681, 25574, 206402, 1908996, 20024149, 236142157, 3106393358, 45265833590, 726249472784, 12761749378320, 244453274012442, 5082582988294164, 114258645210526486, 2767462674168199303

Offset

0,2

Links

Table of n, a(n) for n=0..20.

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

Cf. A001263, A105556.

Sequence in context: A098830 A121277 A009284 * A166741 A054091 A056593

Adjacent sequences: A105554 A105555 A105556 * A105558 A105559 A105560

Keyword

nonn

Author

Paul D. Hanna, Apr 14 2005

Status

approved