%I A127696
%S A127696 1,1,5,47,657,12219,283257,7837423,250764161,9046988147,359958186777,15446916156231,
%T A127696 696035549765025,31596603724765195,1320452505741997625,35237128887524220383,
%U A127696 2148849686515840130559,600767230517127657730077,91881507441808204259686119
%V A127696 1,1,5,47,657,12219,283257,7837423,250764161,9046988147,359958186777,15446916156231,
%W A127696 696035549765025,31596603724765195,1320452505741997625,35237128887524220383,
%X A127696 -2148849686515840130559,-600767230517127657730077,-91881507441808204259686119
%N A127696 (2*n)^n+(2*n+1)^n-(2*n+2)^n.
%C A127696 Theorem: (2*n)^n > (2*n+1)^n + (2*n+2)^n for 1 <= n <= 15.
%D A127696 D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 
               3.1.13.
%Y A127696 Sequence in context: A074192 A058806 A006902 this_sequence A088691 A052802 
               A098799
%Y A127696 Adjacent sequences: A127693 A127694 A127695 this_sequence A127697 A127698 
               A127699
%K A127696 sign
%O A127696 0,3
%A A127696 N. J. A. Sloane (njas(AT)research.att.com), Apr 03 2007