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Search: id:A030060
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| A030060 |
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Third derivative of Catalan generating function/3!. |
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+0
2
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| 5, 56, 420, 2640, 15015, 80080, 408408, 2015520, 9699690, 45762640, 212469400, 973496160, 4411154475, 19800295200, 88158457200, 389753179200, 1712478031110, 7483097278800, 32540135136600
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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(2*(n+3))!/(3!*n!*(n+4)!) = (n+1)*(n+2)*(n+3)*C(n+3)/6, C(n): Catalan numbers
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PROGRAM
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(Mupad) combinat::catalan(n) *binomial(n, 3) $ n = 3..21 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2007
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CROSSREFS
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Sequence in context: A072318 A041995 A062125 this_sequence A073563 A006658 A006293
Adjacent sequences: A030057 A030058 A030059 this_sequence A030061 A030062 A030063
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KEYWORD
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nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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