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A127585 Exponential error term from Stirling's Approximation. 0
1, 18, 345, 10243, 437769, 25260317 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..6.

Eric Weisstein's World of Mathematics, Stirling's Series.

Eric Weisstein's World of Mathematics, Stirling's Approximation.

FORMULA

a(n) = Floor[sqrt(2*pi)*(n^n)*(n^(n/2))] - n!.

EXAMPLE

a(1) = Floor[(sqrt(2*pi) * (1^1) * (1^(1/2))) - 1! ] = Floor(1.50662827) = 1.

a(2) = Floor[(sqrt(2*pi) * (2^2) * (2^(2/2))) - 2! ] = Floor(18.0530262) = 18.

CROSSREFS

Cf. A046968, A046969, A055775, A127426.

Sequence in context: A212669 A158590 A143168 * A230348 A182609 A320764

Adjacent sequences:  A127582 A127583 A127584 * A127586 A127587 A127588

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Apr 02 2007

STATUS

approved

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Last modified June 24 09:55 EDT 2019. Contains 324323 sequences. (Running on oeis4.)