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A005261
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Sum C(n,k)^5, k = 0 . . n.
(Formerly M2156)
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2
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1, 2, 34, 488, 9826, 206252, 4734304, 113245568, 2816649826, 72001228052, 1883210876284, 50168588906768, 1357245464138656, 37198352117916992, 1030920212982957184, 28847760730478655488, 814066783370083977826
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| C. Elsner, On recurrence formulae for sums involving binomial coefficients, Fib. Q., 43 (No. 1, 2005), 31-45.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
| a(n) ~ 4*5^(-1/2)*pi^-2*n^-2*2^(5*n) - Joe Keane (jgk(AT)jgk.org), Jun 21 2002
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CROSSREFS
| Sequence in context: A098531 A092408 A180764 * A104898 A071799 A098704
Adjacent sequences: A005258 A005259 A005260 * A005262 A005263 A005264
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Matthew Conroy (list1(AT)madandmoonly.com), Mar 16 2006
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