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Search: id:A007820
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| A007820 |
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Stirling numbers of second kind S(2n,n). |
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+0
3
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| 1, 7, 90, 1701, 42525, 1323652, 49329280, 2141764053, 106175395755, 5917584964655, 366282500870286, 24930204590758260, 1850568574253550060, 148782988064375309400, 12879868072770626040000
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 835.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
O-Y. Chan and D. V. Manna, Divisibility properties of Stirling numbers of the second kind [From Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Sep 14 2009]
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PROGRAM
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sage: [stirling_number2(2*i, i) for i in xrange(1, 20)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 26 2008
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CROSSREFS
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Chan and Manna prove that a(n) is odd if and only if n is in A003714. [From Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Sep 14 2009]
Sequence in context: A099719 A142995 A103064 this_sequence A123694 A085026 A165230
Adjacent sequences: A007817 A007818 A007819 this_sequence A007821 A007822 A007823
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KEYWORD
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nonn,easy
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AUTHOR
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kemp(AT)sads.informatik.uni-frankfurt.de (Rainer Kemp)
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