A032270 "DIJ" (bracelet, indistinct, labeled) transform of 1,3,5,7,...

1, 1, 4, 15, 75, 481, 4155, 47021, 647759, 10328977, 185812755, 3715936789, 81749718039, 1961990821913, 51011755028507, 1428329124503581, 42849873694048287, 1371195958107799585, 46620662575416672291, 1678343852714400808997, 63777066403145801007143

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) = 1 + (2*x-1)*exp(x). - Andrew Howroyd, Sep 12 2018

Prog

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

Crossrefs

Sequence in context: A020082 A020037 A086365 * A198057 A263004 A002750

Adjacent sequences: A032267 A032268 A032269 * A032271 A032272 A032273

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