%I A006077 M2775
%S A006077 1,3,9,21,9,297,2421,12933,52407,145293,35091,2954097,25228971,
%T A006077 142080669,602217261,1724917221,283305033,38852066421,337425235479,
%U A006077 1938308236731,8364863310291,24286959061533,3011589296289
%V A006077 1,3,9,21,9,-297,-2421,-12933,-52407,-145293,-35091,2954097,25228971,
%W A006077 142080669,602217261,1724917221,283305033,-38852066421,-337425235479,
%X A006077 -1938308236731,-8364863310291,-24286959061533,-3011589296289
%N A006077 (n+1)^2*a(n+1)=(9n^2+9n+3)a(n)-27*n^2*a(n-1).
%C A006077 Comment from Matthijs Coster, Apr 28, 2004: This is the Taylor expansion 
               of a special point on a curve described by Beauville.
%D A006077 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006077 Arnaud Beauville, Les familles stables de courbes sur P_1 admettant quatre 
               fibres singulieres, Comptes Rendus, Academie Science Paris, no. 294, 
               May 24 1982.
%D A006077 Matthijs Coster, Over 6 families van krommen [On 6 families of curves], 
               Master's Thesis (unpublished), Aug 26 1983.
%o A006077 (PARI) subst(eta(q)^3/eta(q^3),q,serreverse(eta(q^9)^3/eta(q)^3*q)) (generating 
               function) [From Helena Verrill (verrill(AT)math.lsu.edu), Apr 20 
               2009]
%Y A006077 Sequence in context: A151420 A146219 A128127 this_sequence A109612 A032668 
               A050839
%Y A006077 Adjacent sequences: A006074 A006075 A006076 this_sequence A006078 A006079 
               A006080
%K A006077 sign
%O A006077 0,2
%A A006077 N. J. A. Sloane (njas(AT)research.att.com).
%E A006077 More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 20 2000