id:A096228 - OEIS Search Results

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a(n) = Floor[n^2*((n-1)/n)^(n-1/2)]

+0
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0, 1, 3, 5, 9, 13, 17, 23, 29, 36, 44, 52, 62, 72, 82, 94, 106, 119, 132, 147, 162, 178, 194, 211, 229, 248, 268, 288, 309, 331, 353, 376, 400, 425, 450, 476, 503, 531, 559, 588, 618, 648, 680, 712, 744, 778, 812, 847, 883, 919, 956, 994, 1033, 1072, 1112, 1153 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`From a mistake made in Stirling's approximation to a ratio of factorials that gives a relatively slow quadratic sequence.` `Actually Stirling's ratio limit is: limit_{n-> Infinity} ((n-1)/n)^(n-1/2) = 1/e.`
	MATHEMATICA	`a=Table[Floor[n^2*((n-1)/n)^(n-1/2)], {n, 1, 200}]`
	CROSSREFS	`Sequence in context: A063954 A123509 A063915 this_sequence A061571 A049690 A080075` `Adjacent sequences: A096225 A096226 A096227 this_sequence A096229 A096230 A096231`
	KEYWORD	`nonn`
	AUTHOR	`Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Aug 09 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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