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A102812
a(0) = 1, a(n) = Sum_{k=1..n} A001263(n,k)*a(k-1) where A001263(n,k) are Narayana numbers.
2
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
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: A008933 A020010 A375505 * A020100 A128230 A084784
KEYWORD
nonn
AUTHOR
Gerald McGarvey, Feb 26 2005
EXTENSIONS
Terms a(12) and beyond from Andrew Howroyd, Nov 06 2019
STATUS
approved