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Search: id:A005261
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| A005261 |
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Sum C(n,k)^5, k = 0 . . n.
(Formerly M2156)
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+0
2
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| 1, 2, 34, 488, 9826, 206252, 4734304, 113245568, 2816649826, 72001228052, 1883210876284, 50168588906768, 1357245464138656, 37198352117916992, 1030920212982957184, 28847760730478655488, 814066783370083977826
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
C. Elsner, On recurrence formulae for sums involving binomial coefficients, Fib. Q., 43 (No. 1, 2005), 31-45.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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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
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Sequence in context: A136362 A098531 A092408 this_sequence A104898 A071799 A098704
Adjacent sequences: A005258 A005259 A005260 this_sequence A005262 A005263 A005264
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Matthew Conroy (list1(AT)madandmoonly.com), Mar 16 2006
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