The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A332238 a(n) = n^(n-1) - Sum_{k=1..n-1} k^(k-1) * a(n-k). 1
1, 1, 6, 47, 493, 6446, 101009, 1846631, 38617674, 909844075, 23858239469, 689399172870, 21769608499937, 745964574859679, 27570932237831874, 1093403260892542195, 46315049663202237389, 2087041161850908432022, 99691702658041778953249, 5031814773759672418067623 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
G.f.: 1 - 1 / (1 + Sum_{k>=1} k^(k-1) * x^k).
MATHEMATICA
a[n_] := a[n] = n^(n - 1) - Sum[k^(k - 1) a[n - k], {k, 1, n - 1}]; Table[a[n], {n, 1, 20}]
nmax = 20; CoefficientList[Series[1 - 1/(1 + Sum[k^(k - 1) x^k, {k, 1, nmax}]), {x, 0, nmax}], x] // Rest
CROSSREFS
Sequence in context: A289211 A307567 A368270 * A353548 A192887 A321190
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 07 2020
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 June 15 16:13 EDT 2024. Contains 373407 sequences. (Running on oeis4.)