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A127634 3^(n-1) - ceiling(n^n/n!). 0
0, 1, 4, 16, 54, 178, 565, 1770, 5493, 16927, 51901, 158533, 482802, 1466859, 4448104, 13467249, 40720970, 122994566, 371156622, 1119161662, 3372427789, 10156591942, 30573367574, 91993546765, 276703494365, 832023918335, 2501142914874, 7516883840470 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Theorem: 3^(n-1) > n^n/n! for n >= 3.

REFERENCES

D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.21.

LINKS

Table of n, a(n) for n=1..28.

CROSSREFS

Sequence in context: A238419 A267227 A223944 * A212520 A115108 A127393

Adjacent sequences:  A127631 A127632 A127633 * A127635 A127636 A127637

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 03 2007

STATUS

approved

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Last modified December 2 21:20 EST 2016. Contains 278694 sequences.