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A096228 a(n) = Floor[n^2*((n-1)/n)^(n-1/2)] 0
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; text; internal format)
OFFSET

0,3

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.

LINKS

Table of n, a(n) for n=0..55.

MATHEMATICA

a=Table[Floor[n^2*((n-1)/n)^(n-1/2)], {n, 1, 200}]

CROSSREFS

Sequence in context: A196094 A063915 A183859 * A185170 A211340 A061571

Adjacent sequences:  A096225 A096226 A096227 * A096229 A096230 A096231

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Aug 09 2004

STATUS

approved

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Last modified December 7 19:05 EST 2016. Contains 278895 sequences.