The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A073596 Expansion of exp(x)*log(1-x)/(x-1). 7
 0, 1, 5, 23, 116, 669, 4429, 33375, 283072, 2673321, 27845293, 317274407, 3926774180, 52469606981, 752922837861, 11549166072847, 188596608142560, 3266826328953745, 59830416584102325, 1155208913864163511, 23453274942011893556, 499481183766226468013 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n) is the total number of cycles obtained by permuting the elements in every subset of {1,2,...,n}. - Geoffrey Critzer, Sep 24 2013 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..450 FORMULA Binomial transform of A000254. a(n) ~ n! * exp(1) * (log(n) + gamma), where gamma is the Euler-Mascheroni constant A001620. - Vaclav Kotesovec, Jul 02 2015 MAPLE b:= proc(n) option remember; `if`(n<2, n, n*b(n-1)+(n-1)!) end: a:= proc(n) add(b(k)*binomial(n, k), k=0..n) end: seq(a(n), n=0..25); # Alois P. Heinz, Mar 07 2018 MATHEMATICA nn=19; Range[0, nn]!CoefficientList[Series[Exp[x]Log[1/(1-x)]/(1-x), {x, 0, nn}], x] (* Geoffrey Critzer, Sep 24 2013 *) PROG (PARI) x='x+O('x^30); concat([0], Vec(serlaplace(exp(x)*log(1-x)/(x-1)))) \\ G. C. Greubel, Aug 28 2018 (Magma) m:=30; R:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(x)*Log(1-x)/(x-1))); [0] cat [Factorial(n)*b[n]: n in [1..m-1]]; // G. C. Greubel, Aug 28 2018 CROSSREFS Cf. A000254. Sequence in context: A104090 A355055 A358607 * A167248 A321798 A005393 Adjacent sequences: A073593 A073594 A073595 * A073597 A073598 A073599 KEYWORD easy,nonn AUTHOR Vladeta Jovovic, Aug 28 2002 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 28 05:31 EST 2022. Contains 358407 sequences. (Running on oeis4.)