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A127395 Product((2*i)!,i = 1..n) - ((n+1)!)^n. +0
1
0, 0, 12, 20736, 1186099200, 4863092981760000, 2405722022408355840000000, 210982363040448544794759659520000000, 4417663598633083951292726052200194139750400000000, 28285349218442861392592006529041874362190858603724800000000000000, 68815738101453790475316164980880834884596607113691790965601206272000000000000000\ 000 (list; graph; listen)
OFFSET

0,3

COMMENT

Theorem: Product((2*i)!,i = 1..n) > ((n+1)!)^n for n >= 2.

REFERENCES

D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.18.

CROSSREFS

Sequence in context: A159369 A012736 A013750 this_sequence A076807 A146519 A049504

Adjacent sequences: A127392 A127393 A127394 this_sequence A127396 A127397 A127398

KEYWORD

nonn

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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