%I A127695
%S A127695 1,1,6,61,933,19013,486903,15046084,545075629,22661379274,1063692556445,
               55646541997466,
%T A127695 3210791930531340,202576381691155974,13874616146693093852,1025250869305088941530,
%U A127695 81303554487412360191076,6887348857934410851161581,620720182437520911247158798
%N A127695 Floor( 2*(2*n+1)^n*sinh(1/2) ) - (2*n+2)^n + (2*n)^n.
%C A127695 Theorem: 2*(2*n+1)^n*sinh(1/2) > (2*n+2)^n - (2*n)^n for n >= 1.
%D A127695 D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 
               3.1.13.
%Y A127695 Sequence in context: A086403 A049120 A056546 this_sequence A144343 A022517 
               A022502
%Y A127695 Adjacent sequences: A127692 A127693 A127694 this_sequence A127696 A127697 
               A127698
%K A127695 nonn
%O A127695 0,3
%A A127695 N. J. A. Sloane (njas(AT)research.att.com), Apr 03 2007