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!)
A293848 E.g.f.: exp(Sum_{n>=1} n^n*x^n). 2
1, 1, 9, 187, 7033, 421341, 37025881, 4500154639, 723834652017, 148905928574713, 38133707320119241, 11894979981772431171, 4439223538343665367209, 1952818695816854110909717, 999887879061130705615605273, 589500991222520435444933020951 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

FORMULA

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

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

MATHEMATICA

nmax = 20; CoefficientList[Series[E^Sum[k^k*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*x^k)+x*O(x^n)), n)}

CROSSREFS

Cf. A293847, A293849.

Sequence in context: A171194 A196297 A274781 * A266496 A078101 A133556

Adjacent sequences:  A293845 A293846 A293847 * A293849 A293850 A293851

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 18 12:28 EDT 2020. Contains 337169 sequences. (Running on oeis4.)