login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A298374 Expansion of e.g.f. 1/(1 - x)^exp(-x). 0
1, 1, 0, 0, 6, 15, 65, 595, 4004, 32865, 322307, 3316511, 37845214, 471644173, 6319617369, 91114344217, 1404670896264, 23050054222177, 401305630237239, 7387282161642715, 143360257370842146, 2925289119525173741, 62612350725688075941, 1402681525332544374325 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Exponential transform of A002741.

LINKS

Table of n, a(n) for n=0..23.

N. J. A. Sloane, Transforms

Index entries for sequences related to logarithmic numbers

FORMULA

a(n) ~ n! * n^(exp(-1)-1) / Gamma(exp(-1)). - Vaclav Kotesovec, May 04 2018

EXAMPLE

1/(1 - x)^exp(-x) = 1 + x/1! + 6*x^4/4! + 15*x^5/5! + 65*x^6/6! + 595*x^7/7! + ...

MAPLE

a:=series(1/(1-x)^exp(-x), x=0, 24): seq(n!*coeff(a, x, n), n=0..23); # Paolo P. Lava, Mar 26 2019

MATHEMATICA

nmax = 23; CoefficientList[Series[1/(1 - x)^Exp[-x], {x, 0, nmax}], x] Range[0, nmax]!

CROSSREFS

Cf. A002741, A007116, A009198, A191365.

Sequence in context: A255007 A069750 A233450 * A324973 A318555 A035077

Adjacent sequences:  A298371 A298372 A298373 * A298375 A298376 A298377

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jan 18 2018

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 27 20:35 EDT 2020. Contains 337388 sequences. (Running on oeis4.)