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A127610 Floor(( (n+1)/2 )^n)-n!. 0
0, 0, 0, 2, 15, 123, 1118, 11344, 127831, 1590245, 21700716, 322880256, 5209007463, 90661989607, 1694616510154, 33876697720832, 721588072472639, 16321494271570569, 390811944752490542, 9878354899591168000, 262896868506265373394, 7349159002086450661211 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

Theorem (Cauchy): ((n+1)/2)^n > n! for n >= 2.

REFERENCES

D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.14.

CROSSREFS

Cf. A127426.

Sequence in context: A185758 A052448 A168502 * A085228 A055866 A051407

Adjacent sequences:  A127607 A127608 A127609 * A127611 A127612 A127613

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.