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

Author

Gerald McGarvey, Feb 26 2005

Keywords

• nonn

Comments

Eigensequence of A001263. - Philippe Deléham, Jun 22 2007

Links

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

Crossrefs

Cf. A001263.

Programs

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

Extensions

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