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A239739
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a(n) = n*4^(2*n+1).
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1
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0, 64, 2048, 49152, 1048576, 20971520, 402653184, 7516192768, 137438953472, 2473901162496, 43980465111040, 774056185954304, 13510798882111488, 234187180623265792, 4035225266123964416, 69175290276410818560, 1180591620717411303424, 20070057552195992158208
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OFFSET
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0,2
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COMMENTS
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Appears in asymptotic expansions of the logarithm of the central binomial and the Catalan numbers. (See Kessler and Schiff, page 2.)
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LINKS
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FORMULA
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MATHEMATICA
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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 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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