%I A074059
%S A074059 1,1,2,7,34,213,1630,14747,153946,1821473,24087590,352080111,5636451794,
%T A074059 98081813581,1843315388078,37209072076483,802906142007946,
%U A074059 18443166021077145,449326835001457846
%N A074059 Dimension of the cohomology ring of the moduli space of n-pointed curves 
               of genus 0 satisfying the associativity equations of physics (also 
               known as the WDVV equations).
%D A074059 B. Drake, I. M. Gessel and G. Xin, Three proofs and a generalization 
               of the Goulden-Litsyn-Shevelev conjecture ..., J. Integer Sequences, 
               Vol. 10 (2007), #07.3.7.
%D A074059 I. P. Goulden, S. Litsyn and V. Shevelev, On a Sequence Arising in Algebraic 
               Geometry, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.7.
%D A074059 S. Keel, Intersection theory of moduli space of stable n-pointed curves 
               of genus zero, Trans. Amer. Math. Soc. 330 (1992), 545-574.
%D A074059 M. Kontsevich and Y. Manin, Quantum cohomology of a product (with Appendix 
               by R. Kaufmann), Inv. Math. 124, f. 1-3 (1996) 313-339.
%D A074059 Margaret Readdy, The pre-WDVV ring of physics and its topology. The Ramanujan 
               Journal, Special issue on the Number Theory and Combinatorics in 
               Physics, 10 (2005), 269-281.
%F A074059 The exponential generating function A = A(x) = sum_{n>=1} a(n) x^n/n! 
               satisfies the equation (1+A)log(1+A) = 2A-x. Explicitly, 1+A(x) = 
               exp(2+W(e^(-2)(2+x))), where W is Lambert's W-function. - Ira Gessel 
               (gessel(AT)brandeis.edu), Dec 15 2005
%p A074059 series(exp(LambertW(-exp(-2)*(2+x))+2)-1,x,30): A:=simplify(%,symbolic): 
               A074059:=n->n!*coeff(A,x,n): (Gessel)
%Y A074059 Cf. A074060.
%Y A074059 Sequence in context: A145845 A002720 A111539 this_sequence A135882 A143740 
               A049463
%Y A074059 Adjacent sequences: A074056 A074057 A074058 this_sequence A074060 A074061 
               A074062
%K A074059 nonn
%O A074059 1,3
%A A074059 Margaret A. Readdy (readdy(AT)ms.uky.edu), Aug 16 2002
%E A074059 More terms from Ira Gessel (gessel(AT)brandeis.edu), Dec 15 2005