OFFSET
1,1
COMMENTS
For properties of these numbers including a recurrence, see the Lassalle reference.
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..100
Tewodros Amdeberhan, Victor H. Moll and Christophe Vignat, A probabilistic interpretation of a sequence related to Narayana Polynomials, arXiv:1202.1203 [math.NT], 2012. - From N. J. A. Sloane, Sep 19 2012
Tewodros Amdeberhan, Victor H. Moll and Christophe Vignat, A probabilistic interpretation of a sequence related to Narayana Polynomials, Online Journal of Analytic Combinatorics, Issue 8, 2013.
Michel Lassalle, Catalan numbers and a new integer sequence, arXiv:1009.4225 [math.CO], 2010-2012.
Michel Lassalle, Two integer sequences related to Catalan numbers, Journal of Combinatorial Theory, Series A, Volume 119, Issue 4, May 2012, Pages 923-935.
MAPLE
MATHEMATICA
c = CatalanNumber;
A[n_] := A[n] = (-1)^(n - 1)*(c[n] + Sum[(-1)^j*Binomial[2*n - 1, 2*j - 1]*A[j]*c[n - j], {j, 1, n - 1}]);
a[n_] := 2 A[n]/c[n];
Array[a, 21] (* Jean-François Alcover, Nov 25 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 16 2011
STATUS
approved