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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A293849 Expansion of e.g.f.: exp(Sum_{n>=1} n^(n-1)*x^n). 2
1, 1, 5, 67, 1825, 85661, 6208861, 643969495, 90484635137, 16538699920825, 3811890603086101, 1081079416534448651, 369888779067183276385, 150214056908992952336917, 71424576855634502660684525, 39304140073887410352909383071 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..232

FORMULA

E.g.f.: exp(Sum_{n>=1} n^(n-1)*x^n).

a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} k^k*a(n-k)/(n-k)! for n > 0.

a(n) ~ n! * n^(n-1). - Vaclav Kotesovec, Oct 18 2017

MATHEMATICA

nmax = 20; CoefficientList[Series[E^Sum[k^(k-1)*x^k, {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 18 2017 *)

PROG

(PARI) {a(n) = n!*polcoeff(exp(sum(k=1, n, k^(k-1)*x^k)+x*O(x^n)), n)}

CROSSREFS

Cf. A293848.

Sequence in context: A166619 A323208 A262656 * A244589 A113064 A352860

Adjacent sequences:  A293846 A293847 A293848 * A293850 A293851 A293852

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 17 2017

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 22 09:50 EDT 2022. Contains 353949 sequences. (Running on oeis4.)