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Search: id:A006630
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| A006630 |
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From generalized Catalan numbers.
(Formerly M4214)
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+0
4
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| 1, 6, 33, 182, 1020, 5814, 33649, 197340, 1170585, 7012200, 42364476, 257854776, 1579730984, 9734161206, 60290077905, 375138262520, 2343880406595, 14699630061270, 92502956574105, 583920410197950, 3696470074992240
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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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.
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FORMULA
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G.f.: 3_F_2 ( [ 2, 8/3, 7/3 ]; [ 4, 7/2 ]; 27 x / 4 ).
a(n) = C(3n+6, n)*2/(n+2). - Henry Bottomley (se16(AT)btinternet.com), Sep 24 2001
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CROSSREFS
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Adjacent sequences: A006627 A006628 A006629 this_sequence A006631 A006632 A006633
Sequence in context: A050151 A009162 A012718 this_sequence A093964 A097662 A012522
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KEYWORD
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nonn,easy
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AUTHOR
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Simon Plouffe (plouffe(AT)math.uqam.ca)
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EXTENSIONS
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More terms from Christopher Lund (clund(AT)san.rr.com), Apr 16 2002
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