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A005394
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Leading term of Stirling's approximation to n!, sqrt(2*Pi)*n^(n+(1/2))/e^n, rounded to nearest integer.
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3
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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
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0,3
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..449
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MATHEMATICA
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Table[Round[Sqrt[2*Pi]*Exp[-n]*n^(n + 1/2)], {n, 0, 100}] (* G. C. Greubel, Aug 16 2018 *)
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PROG
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(Magma) R:= RealField(); [Round(Sqrt(2*Pi)*Exp(-n)*n^(n + 1/2)): n in [0..100]]; // G. C. Greubel, Aug 16 2018
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CROSSREFS
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Cf. A000142, A090583.
Sequence in context: A328442 A135106 A248837 * A095818 A264781 A224316
Adjacent sequences: A005391 A005392 A005393 * A005395 A005396 A005397
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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Corrected and extended by Hugo Pfoertner, Jan 10 2004
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STATUS
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approved
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