The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A277477

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A277477

E.g.f.: -cos(x)*LambertW(-x).
(history; published version)

#9 by Bruno Berselli at Wed Nov 08 02:32:21 EST 2017

STATUS

reviewed

approved

#8 by Michel Marcus at Wed Nov 08 00:25:29 EST 2017

STATUS

proposed

reviewed

#7 by G. C. Greubel at Wed Nov 08 00:00:35 EST 2017

STATUS

editing

proposed

#6 by G. C. Greubel at Wed Nov 08 00:00:27 EST 2017

LINKS

G. C. Greubel, <a href="/A277477/b277477.txt">Table of n, a(n) for n = 0..385</a>

PROG

(PARI) x='x+O('x^50); concat([0], Vec(serlaplace(-cos(x)*lambertw(-x)))) \\ G. C. Greubel, Nov 07 2017

STATUS

approved

editing

#5 by Vaclav Kotesovec at Fri Oct 28 04:31:08 EDT 2016

STATUS

editing

approved

#4 by Vaclav Kotesovec at Fri Oct 28 04:30:53 EDT 2016

MATHEMATICA

Table[Sum[Binomial[n, k] * Cos[Pi*(n-k)/2] * k^(k-1), {k, 1, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 28 2016 *)

STATUS

approved

editing

#3 by Vaclav Kotesovec at Mon Oct 17 04:23:54 EDT 2016

STATUS

editing

approved

#2 by Vaclav Kotesovec at Mon Oct 17 04:14:06 EDT 2016

NAME

allocated for Vaclav Kotesovec

E.g.f.: -cos(x)*LambertW(-x).

DATA

0, 1, 2, 6, 52, 540, 6846, 104832, 1883848, 38889360, 907247770, 23608391840, 678039307452, 21305543325248, 727095737061526, 26781816978470400, 1059020025979194128, 44746083421419997440, 2011929587198990154162, 95918808101232854969856

OFFSET

0,3

FORMULA

a(n) ~ cos(exp(-1)) * n^(n-1).

MATHEMATICA

CoefficientList[Series[-Cos[x]*LambertW[-x], {x, 0, 20}], x] * Range[0, 20]!

CROSSREFS

Cf. A000169, A277462, A277473, A277475, A277478.

KEYWORD

allocated

nonn

AUTHOR

Vaclav Kotesovec, Oct 17 2016

STATUS

approved

editing

#1 by Vaclav Kotesovec at Mon Oct 17 03:54:11 EDT 2016

NAME

allocated for Vaclav Kotesovec

KEYWORD

allocated

STATUS

approved