A032266 "DIJ" (bracelet, indistinct, labeled) transform of 2,2,2,2,...

1, 2, 6, 22, 126, 1126, 13566, 199942, 3449886, 68063206, 1510770366, 37260158662, 1010843390046, 29916558520486, 959183053952766, 33118910817698182, 1225219266296232606, 48348200298184900966, 2027102674516399784766, 89990106205541778450502

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: A352413 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