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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

%I

%S 1,1,2,6,25,136,927,7690,75913,876026,11649009,176389234,3011057742,

%T 57453864447,1216376055329,28390144638804,726364328468535,

%U 20269424489285300,614148655197018345,20123000681064168210,710410428812211243412,26932611130467463342807

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

%C Eigensequence of A001263. - _Philippe Deléham_, Jun 22 2007

%H Andrew Howroyd, <a href="/A102812/b102812.txt">Table of n, a(n) for n = 0..200</a>

%o (PARI) \\ here T(n,k) is A001263.

%o T(n, k) ={if(k==0, 0, binomial(n-1, k-1) * binomial(n, k-1) / k)}

%o 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

%Y Cf. A001263.

%K nonn

%O 0,3

%A _Gerald McGarvey_, Feb 26 2005

%E Terms a(12) and beyond from _Andrew Howroyd_, Nov 06 2019

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Last modified May 25 02:55 EDT 2022. Contains 354047 sequences. (Running on oeis4.)