

A005394


Leading term of Stirling's approximation to n!, sqrt(2*Pi)*n^(n+(1/2))/e^n, rounded to nearest integer.


3



0, 1, 2, 6, 24, 118, 710, 4980, 39902, 359537, 3598696, 39615625, 475687486, 6187239475, 86661001741, 1300430722199, 20814114415223, 353948328666101, 6372804626194309, 121112786592293963, 2422786846761133394
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OFFSET

0,3


LINKS

G. C. Greubel, Table of n, a(n) for n = 0..449


MATHEMATICA

Table[Round[Sqrt[2*Pi]*Exp[n]*n^(n + 1/2)], {n, 0, 100}] (* G. C. Greubel, Aug 16 2018 *)


PROG

(MAGMA) R:= RealField(); [Round(Sqrt(2*Pi)*Exp(n)*n^(n + 1/2)): n in [0..100]]; // G. C. Greubel, Aug 16 2018


CROSSREFS

Cf. A000142, A090583.
Sequence in context: A298432 A135106 A248837 * A095818 A264781 A224316
Adjacent sequences: A005391 A005392 A005393 * A005395 A005396 A005397


KEYWORD

nonn


AUTHOR

N. J. A. Sloane


EXTENSIONS

Corrected and extended by Hugo Pfoertner, Jan 10 2004


STATUS

approved



