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A087860 Expansion of e.g.f.: (1-exp(x/(x-1)))/(1-x). 1
0, 1, 3, 10, 39, 176, 905, 5244, 34111, 250480, 2108529, 20751380, 241315151, 3282366504, 50786289385, 865850559196, 15856276032255, 306665879765984, 6199863566817761, 130237717066988580, 2832527601333186319 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..448

FORMULA

a(n) = n!*(1-LaguerreL(n, 1)).

a(n) = 3*(n-1)*a(n-1) - (n-1)*(3*n - 5)*a(n-2) + (n-2)^2*(n-1)*a(n-3). - Vaclav Kotesovec, Nov 13 2017

MATHEMATICA

With[{nn=20}, CoefficientList[Series[(1-Exp[x/(x-1)])/(1-x), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Nov 27 2015 *)

PROG

(PARI) x='x+O('x^30); concat([0], Vec(serlaplace((1-exp(x/(x-1)))/(1-x)))) \\ G. C. Greubel, Feb 06 2018

(MAGMA) I:=[1, 3, 10]; [0] cat [n le 3 select I[n] else 3*(n-1)*Self(n-1) - (n-1)*(3*n-5)*Self(n-2) +(n-1)*(n-2)^2*Self(n-3): n in [1..30]];

CROSSREFS

Cf. A009940, A070779.

Sequence in context: A124532 A305560 A074728 * A307593 A221973 A303004

Adjacent sequences:  A087857 A087858 A087859 * A087861 A087862 A087863

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Oct 25 2003

EXTENSIONS

Definition clarified by Harvey P. Dale, Nov 27 2015

STATUS

approved

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Last modified August 21 05:30 EDT 2019. Contains 326162 sequences. (Running on oeis4.)