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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 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 May 28 14:47 EDT 2020. Contains 334684 sequences. (Running on oeis4.)