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A005261 Sum C(n,k)^5, k = 0 . . n.
(Formerly M2156)
+0
2
1, 2, 34, 488, 9826, 206252, 4734304, 113245568, 2816649826, 72001228052, 1883210876284, 50168588906768, 1357245464138656, 37198352117916992, 1030920212982957184, 28847760730478655488, 814066783370083977826 (list; graph; listen)
OFFSET

0,2

REFERENCES

C. Elsner, On recurrence formulae for sums involving binomial coefficients, Fib. Q., 43 (No. 1, 2005), 31-45.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

a(n) ~ 4*5^(-1/2)*pi^-2*n^-2*2^(5*n) - Joe Keane (jgk(AT)jgk.org), Jun 21 2002

CROSSREFS

Sequence in context: A136362 A098531 A092408 this_sequence A104898 A071799 A098704

Adjacent sequences: A005258 A005259 A005260 this_sequence A005262 A005263 A005264

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Matthew Conroy (list1(AT)madandmoonly.com), Mar 16 2006

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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