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A006633 From generalized Catalan numbers.
(Formerly M4230)
6
1, 6, 39, 272, 1995, 15180, 118755, 949344, 7721604, 63698830, 531697881, 4482448656, 38111876530, 326439471960, 2814095259675, 24397023508416, 212579132600076 (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

Table of n, a(n) for n=0..16.

Simon Plouffe, Approximations of generating functions and a few conjectures, Master's Thesis, arXiv:0911.4975 [math.NT], 2009.

FORMULA

4F3([3/2, 7/4, 2, 9/4],[7/3, 8/3, 3],256/27*x). - Simon Plouffe, Master's Thesis, UQAM 1992

a(n) = 2*binomial(4*n+5,n)/(n+2). - Bruno Berselli, Jan 18 2014

CROSSREFS

Cf. A006631, A006632, A006634, A006635.

Sequence in context: A147961 A264232 A068765 * A153392 A253077 A231482

Adjacent sequences:  A006630 A006631 A006632 * A006634 A006635 A006636

KEYWORD

nonn

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified February 27 10:25 EST 2021. Contains 341649 sequences. (Running on oeis4.)