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 A282709 a(n) = floor((2*n+2)^n/(n+1)!) - binomial(2*n,n). 3
 0, 0, 0, 1, 13, 93, 569, 3225, 17498, 92473, 480626, 2471344, 12620821, 64183465, 325644870, 1650517964, 8364825118, 42417264804, 215318284778, 1094490241371, 5572229572248, 28417811854263, 145187463285629, 743117432099859, 3810434212170301, 19573513999423879, 100721431862571196 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A282708, A282710. Sequence in context: A027670 A055608 A038742 * A005414 A044264 A044645 Adjacent sequences: A282706 A282707 A282708 * A282710 A282711 A282712 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 26 2017 STATUS approved

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Last modified May 24 08:42 EDT 2024. Contains 372773 sequences. (Running on oeis4.)