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A096228
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a(n) = Floor[n^2*((n-1)/n)^(n-1/2)]
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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; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 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.
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MATHEMATICA
| a=Table[Floor[n^2*((n-1)/n)^(n-1/2)], {n, 1, 200}]
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CROSSREFS
| Sequence in context: A196094 A063915 A183859 * A061571 A049690 A080075
Adjacent sequences: A096225 A096226 A096227 * A096229 A096230 A096231
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KEYWORD
| nonn
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Aug 09 2004
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