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 A006635 From generalized Catalan numbers. (Formerly M4860) 1
 1, 12, 114, 1012, 8775, 75516, 649264, 5593068, 48336171, 419276660, 3650774820, 31907617560, 279871768995, 2463161027292, 21747225841440, 192575673551584, 1710009515037060, 15223466050169520, 135853465827080970, 1215067013768834100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES H. M. Finucan, Some decompositions of generalized Catalan numbers, pp. 275-293 of Combinatorial Mathematics IX. Proc. Ninth Australian Conference (Brisbane, August 1981). Ed. E. J. Billington, S. Oates-Williams and A. P. Street. Lecture Notes Math., 952. Springer-Verlag, 1982. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Simon Plouffe, Approximations of generating functions and a few conjectures, Master's Thesis, UQAM 1992; arXiv:0911.4975 [math.NT], 2009. FORMULA 4F3([3,7/2,15/4,13/4],[5,14/3,13/3],256*x/27) - Simon Plouffe, Master's thesis, UQAM 1992 G.f.: g^12 where g is the g.f. of A002293. - Sean A. Irvine, May 25 2017 MATHEMATICA terms = 20; g[_] = 0; Do[g[x_] = 1 + x g[x]^4 + O[x]^terms, terms]; CoefficientList[g[x]^12, x] (* Jean-François Alcover, Oct 07 2018, after Sean A. Irvine *) CROSSREFS Sequence in context: A125400 A331515 A154237 * A062386 A080602 A333299 Adjacent sequences:  A006632 A006633 A006634 * A006636 A006637 A006638 KEYWORD nonn AUTHOR EXTENSIONS More terms from Sean A. Irvine, May 25 2017 STATUS approved

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Last modified August 8 23:02 EDT 2020. Contains 336300 sequences. (Running on oeis4.)