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 A032268 "DIJ" (bracelet, indistinct, labeled) transform of 3,3,3,3,... 1
 1, 3, 12, 57, 471, 6159, 105987, 2207847, 53715891, 1493742279, 46730999667, 1624397276487, 62111517207411, 2590839950614599, 117076879593900147, 5697526788322329927, 297074131510779228531, 16522357697381918530119, 976355872514689231565427 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Andrew Howroyd, Table of n, a(n) for n = 0..200 C. G. Bower, Transforms (2) FORMULA E.g.f.: 1 + (g(x) + g(x)^2/2 - log(1-g(x)))/2 where g(x) = 3*(exp(x) - 1). - Andrew Howroyd, Sep 12 2018 MATHEMATICA m = 19; (1 + (g[x] + g[x]^2/2 - Log[1 - g[x]])/2 /. g[x] -> 3*(Exp[x] - 1) + O[x]^m // CoefficientList[#, x]&)*Range[0, m-1]! (* Jean-François Alcover, Sep 11 2019 *) PROG (PARI) seq(n)={my(p=3*(exp(x + O(x*x^n))-1)); Vec(1 + serlaplace(p + p^2/2 - log(1-p))/2)} \\ Andrew Howroyd, Sep 12 2018 CROSSREFS Cf. A032266, A032267, A032269, A032270. Sequence in context: A293469 A009248 A012709 * A079245 A122677 A038177 Adjacent sequences:  A032265 A032266 A032267 * A032269 A032270 A032271 KEYWORD nonn AUTHOR EXTENSIONS a(0)=1 prepended and terms a(17) and beyond from Andrew Howroyd, Sep 12 2018 STATUS approved

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Last modified August 15 10:12 EDT 2020. Contains 336492 sequences. (Running on oeis4.)