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A127426 n!-ceiling(n^(n/2)). +0
3
0, 0, 0, 0, 8, 64, 504, 4132, 36224, 343197, 3528800, 39382654, 476015616, 6209617492, 87072877696, 1307012632486, 20918494920704, 355658666311252, 6402175346437632, 121643693845767057, 2432891768176640000, 51090865734892274539, 1124000143459306268672 (list; graph; listen)
OFFSET

0,5

COMMENT

Theorem: n! > n^(n/2) for n >= 2 [Cauchy].

REFERENCES

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

CROSSREFS

Sequence in context: A167239 A146885 A122093 this_sequence A126629 A125498 A125908

Adjacent sequences: A127423 A127424 A127425 this_sequence A127427 A127428 A127429

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 02 2007

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Last modified December 6 13:45 EST 2009. Contains 170429 sequences.


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