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A127688 a(n) = (n+1)^n - (2n)!!. 1

%I

%S 0,1,7,61,617,7761,117601,2097047,43046337,999999055,25937420761,

%T 743008360293,23298085076401,793714773119009,29192926024745505,

%U 1152921504604819951,48661191875656546561,2185911559738662072543,104127350297911055738281,5242879999999999345270925

%N a(n) = (n+1)^n - (2n)!!.

%C Theorem: (n+1)^n > (2n)!! for n>0.

%D D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.15.

%Y Cf. A000165, A127650.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Apr 03 2007

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Last modified October 1 23:28 EDT 2022. Contains 357173 sequences. (Running on oeis4.)