A102812 a(0) = 1, a(n) = Sum_{k=1..n} A001263(n,k)*a(k-1) where A001263(n,k) are Narayana numbers.

1, 1, 2, 6, 25, 136, 927, 7690, 75913, 876026, 11649009, 176389234, 3011057742, 57453864447, 1216376055329, 28390144638804, 726364328468535, 20269424489285300, 614148655197018345, 20123000681064168210, 710410428812211243412, 26932611130467463342807

Offset

0,3

Comments

Eigensequence of A001263. - Philippe Deléham, Jun 22 2007

Links

Andrew Howroyd, Table of n, a(n) for n = 0..200

Prog

(PARI) \\ here T(n, k) is A001263.
T(n, k) ={if(k==0, 0, binomial(n-1, k-1) * binomial(n, k-1) / k)}
seq(n)={my(a=vector(n+1)); a[1]=1; for(n=1, n, a[n+1]=sum(k=1, n, a[k]*T(n, k))); a} \\ Andrew Howroyd, Nov 06 2019

Crossrefs

Cf. A001263.

Sequence in context: A010787 A008933 A020010 * A020100 A128230 A084784

Adjacent sequences: A102809 A102810 A102811 * A102813 A102814 A102815

Keyword

nonn

Author

Gerald McGarvey, Feb 26 2005

Extensions

Terms a(12) and beyond from Andrew Howroyd, Nov 06 2019

Status

approved