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A127696 (2*n)^n+(2*n+1)^n-(2*n+2)^n. 0
1, 1, 5, 47, 657, 12219, 283257, 7837423, 250764161, 9046988147, 359958186777, 15446916156231, 696035549765025, 31596603724765195, 1320452505741997625, 35237128887524220383, -2148849686515840130559, -600767230517127657730077, -91881507441808204259686119 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

Theorem: (2*n)^n > (2*n+1)^n + (2*n+2)^n for 1 <= n <= 15.

REFERENCES

D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.13.

CROSSREFS

Sequence in context: A058806 A006902 A180254 * A088691 A052802 A098799

Adjacent sequences:  A127693 A127694 A127695 * A127697 A127698 A127699

KEYWORD

sign

AUTHOR

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

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.