0,3

Number of dissections of a disk.

L. W. Beineke and R. E. Pippert, Enumerating labeled k-dimensional trees and ball dissections, pp. 12-26 of Proceedings of Second Chapel Hill Conference on Combinatorial Mathematics and Its Applications, University of North Carolina, Chapel Hill, 1970. Reprinted in Math. Annalen, 191 (1971), 87-98.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 80

K. A. Penson and J.-M. Sixdeniers, Integral Representations of Catalan and Related Numbers, J. Integer Sequences, 4 (2001), #01.2.5.

K. A. Penson and A. I. Solomon, Coherent states from combinatorial sequences.

a(n+2) = sum(A038455(n, m), m=1..n), n >= 1 - Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

E.g.f. for this sequence = o.g.f. for A000108. - Len Smiley (smiley(AT)math.uaa.alaska.edu), Dec 07 2001

Integral representation as the moment of a positive function on the positive half-axis: in Maple notation a(n)=int(x^n*(-1/2+exp(-x/4)/sqrt(Pi*x)+erf(sqrt(x)/2)/2), x=0..infinity), n=0, 1... This representation is unique. - Karol.A. Penson (penson(AT)lptl.jussieu.fr), Aug 21 2001

n!*binomial(2*n,n)/(n+1) or A000108*n! - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 06 2006

seq(mul((n+k), k=2..n), n=0..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2008

(Mupad) combinat::catalan(n)*n! $ n = 0..17; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2007

Sequence in context: A128329 A006149 A121413 this_sequence A099712 A052316 A089918

Adjacent sequences: A001758 A001759 A001760 this_sequence A001762 A001763 A001764

nonn

njas