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 A239739 a(n) = n*4^(2*n+1). 1
 0, 64, 2048, 49152, 1048576, 20971520, 402653184, 7516192768, 137438953472, 2473901162496, 43980465111040, 774056185954304, 13510798882111488, 234187180623265792, 4035225266123964416, 69175290276410818560, 1180591620717411303424, 20070057552195992158208 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Appears in asymptotic expansions of the logarithm of the central binomial and the Catalan numbers. (See Kessler and Schiff, page 2.) LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 D. Kessler and J. Schiff, The asymptotics of factorials, binomial coefficients and Catalan numbers. April 2006. Index entries for linear recurrences with constant coefficients, signature (32,-256). FORMULA G.f.: 64*x / (1 - 16*x)^2. [Bruno Berselli, Mar 26 2014] (n-1)*a(n) - 16*n*a(n-1) = 0. [Bruno Berselli, Mar 26 2014] a(n) = n*A013709(n). - Michel Marcus, Jan 30 2016 MATHEMATICA CoefficientList[Series[64 x /(1 - 16 x)^2, {x, 0, 20}], x] (* Vincenzo Librandi, Apr 25 2014 *) LinearRecurrence[{32, -256}, {0, 64}, 20] (* Harvey P. Dale, May 06 2021 *) PROG (Magma) [n*4^(2*n+1): n in [0..25]]; // Vincenzo Librandi, Apr 25 2014 CROSSREFS Cf. A219931, A220002, A220422, A267796, A013709. Sequence in context: A324492 A035727 A035801 * A017727 A089458 A283280 Adjacent sequences: A239736 A239737 A239738 * A239740 A239741 A239742 KEYWORD nonn,easy AUTHOR Peter Luschny, Mar 26 2014 STATUS approved

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Last modified May 29 15:02 EDT 2023. Contains 363042 sequences. (Running on oeis4.)