A087314 - OEIS

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A087314

a(n) = (1/n) * Sum_{k = 0..n} n^binomial(n,k).

1

2, 4, 20, 1154, 3907502, 609516468354242, 108233912076063807870514781000, 205688069665244291374160325606433848956971528595913979304345602, 381367496233593231179533022742555015402552706280473714446093438118953849830784189071820024395733993533363857256493600698

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

a(3) = 1/3*{ 3^1 +3^3+3^3+3^1} = 20.

PROG

(PARI) a(n) = sum(k = 0, n, n^binomial(n, k))/n; \\ David Wasserman, May 02 2005

CROSSREFS

Sequence in context: A132498 A325050 A325503 * A326972 A099179 A102049

Adjacent sequences: A087311 A087312 A087313 * A087315 A087316 A087317

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Sep 03 2003

EXTENSIONS

More terms from David Wasserman, May 02 2005

STATUS

approved