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Search: id:A127304
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A127304 a(n) = floor(n^(n + 1/2)). +0
2
0, 1, 5, 46, 512, 6987, 114283, 2178889, 47453132, 1162261467, 31622776601, 946271759726, 30886277963534, 1092031726879989, 41577322420731606, 1695955744851044543, 73786976294838206464, 3410798977520981898013 (list; graph; listen)
OFFSET

0,3

COMMENT

By Stirling's approximation, a(n) ~ n! e^n /sqrt(2 pi).

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

MAPLE

Digits := 80 : A127304 := proc(n) floor(n^(n+1/2)) ; end: seq(A127304(n), n=0..30) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 01 2007

CROSSREFS

Cf. A000312, A127265.

Sequence in context: A112396 A096947 A042533 this_sequence A112029 A058478 A159608

Adjacent sequences: A127301 A127302 A127303 this_sequence A127305 A127306 A127307

KEYWORD

nonn

AUTHOR

Leroy Quet Mar 28 2007

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 01 2007

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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