A032269 "DIJ" (bracelet, indistinct, labeled) transform of 1,2,3,4,...

1, 1, 3, 10, 43, 247, 1926, 19414, 236328, 3323205, 52705090, 929220616, 18022413696, 381329741071, 8740799344746, 215767673761410, 5706697328974816, 160994864601428425, 4825786965074938818, 153160879869533780812, 5131078453592054013360, 180944693884489748335731

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