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Search: id:A087314
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| A087314 |
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a(n) = (1/n)*[sum_{k = 0..n} n^(C(n,k))]. |
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+0
1
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| 2, 4, 20, 1154, 3907502, 609516468354242, 108233912076063807870514781000, 205688069665244291374160325606433848956971528595913979304345602, 381367496233593231179533022742555015402552706280473714446093438118953849830784189071820024395733993533363857256493600698
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(3) = 1/3*{ 3^1 +3^3+3^3+3^1} = 20.
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PROGRAM
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(PARI) a(n) = sum(k = 0, n, n^binomial(n, k))/n; (Wasserman)
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CROSSREFS
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Cf. A001315.
Adjacent sequences: A087311 A087312 A087313 this_sequence A087315 A087316 A087317
Sequence in context: A064493 A059588 A132498 this_sequence A099179 A102049 A058522
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 03 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 02 2005
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