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A032268

"DIJ" (bracelet, indistinct, labeled) transform of 3,3,3,3,...

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: A009248 A012709 A370528 * A079245 A391689 A122677

Adjacent sequences: A032265 A032266 A032267 * A032269 A032270 A032271

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

a(0)=1 prepended and terms a(17) and beyond from Andrew Howroyd, Sep 12 2018

STATUS

approved

URL: https://oeis.org/A032268

⇱ A032268 - OEIS