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A032266 "DIJ" (bracelet, indistinct, labeled) transform of 2,2,2,2,... 1
1, 2, 6, 22, 126, 1126, 13566, 199942, 3449886, 68063206, 1510770366, 37260158662, 1010843390046, 29916558520486, 959183053952766, 33118910817698182, 1225219266296232606, 48348200298184900966, 2027102674516399784766, 89990106205541778450502 (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) = 2*(exp(x) - 1). - Andrew Howroyd, Sep 12 2018

PROG

(PARI) seq(n)={my(p=2*(exp(x + O(x*x^n))-1)); Vec(1 + serlaplace(p + p^2/2 - log(1-p))/2)} \\ Andrew Howroyd, Sep 12 2018

CROSSREFS

Sequence in context: A095817 A101042 A171339 * A095856 A180367 A111061

Adjacent sequences:  A032263 A032264 A032265 * A032267 A032268 A032269

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

a(0)=1 prepended and terms a(18) and beyond from Andrew Howroyd, Sep 12 2018

STATUS

approved

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Last modified October 20 16:06 EDT 2018. Contains 316390 sequences. (Running on oeis4.)