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A127634 3^(n-1) - ceiling(n^n/n!). +0
1
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; listen)
OFFSET

1,3

COMMENT

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

REFERENCES

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

CROSSREFS

Sequence in context: A074407 A121159 A134968 this_sequence A115108 A127393 A073388

Adjacent sequences: A127631 A127632 A127633 this_sequence A127635 A127636 A127637

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 03 2007

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


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