OFFSET
0,5
COMMENTS
a(n) >= 0.
REFERENCES
P. S. Bullen, A Dictionary of Inequalities, Longman, 1998. See p. 34.
D. S. Mitrinovic, Analytic Inequalities, Springer 1970. See (3.1.28).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
MATHEMATICA
Table[Floor[(2 n + 2)^n/(n + 1)!] - Binomial[2 n, n], {n, 0, 30}] (* Vincenzo Librandi, Feb 27 2017 *)
PROG
(Magma) [Floor((2*n+2)^n/Factorial(n+1))-Binomial(2*n, n): n in [0..30]]; // Vincenzo Librandi, Feb 27 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 26 2017
STATUS
approved