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A282708 a(n) = binomial(2*n,n) - ceiling(2^(2*n)/(n+1)). 3
0, 0, 0, 4, 18, 81, 338, 1384, 5588, 22405, 89430, 355906, 1413600, 5607109, 22220902, 88008656, 348435254, 1379169043, 5458320734, 21601368452, 85488832259, 338346669389, 1339221309614, 5301399720197, 20988604614673, 83106763866881, 329118546749196, 1303568050309469, 5163945978762924 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
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
MATHEMATICA
Table[Binomial[2 n, n] - Ceiling[2^(2 n)/(n + 1)], {n, 0, 40}] (* Vincenzo Librandi, Feb 27 2017 *)
PROG
(Magma) [Binomial(2*n, n)-Ceiling(2^(2*n)/(n+1)): n in [0..30]]; // Vincenzo Librandi, Feb 27 2017
CROSSREFS
Sequence in context: A106391 A063881 A264004 * A252823 A264191 A257060
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 26 2017
STATUS
approved

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Last modified May 20 21:47 EDT 2024. Contains 372720 sequences. (Running on oeis4.)