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A032269 "DIJ" (bracelet, indistinct, labeled) transform of 1,2,3,4,... 1
1, 1, 3, 10, 43, 247, 1926, 19414, 236328, 3323205, 52705090, 929220616, 18022413696, 381329741071, 8740799344746, 215767673761410, 5706697328974816, 160994864601428425, 4825786965074938818, 153160879869533780812, 5131078453592054013360, 180944693884489748335731 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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) = x*exp(x). - Andrew Howroyd, Sep 12 2018

PROG

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

CROSSREFS

Sequence in context: A001040 A181949 A162286 * A179501 A041737 A279105

Adjacent sequences:  A032266 A032267 A032268 * A032270 A032271 A032272

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

a(0)=1 prepended and terms a(19) and beyond from Andrew Howroyd, Sep 12 2018

STATUS

approved

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Last modified October 18 18:58 EDT 2018. Contains 316323 sequences. (Running on oeis4.)