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!)
A332239 a(n) = n^(n-2) - Sum_{k=1..n-1} k^(k-2) * a(n-k). 1
1, 0, 2, 11, 96, 1058, 14292, 229273, 4268583, 90599501, 2161197285, 57273924968, 1670125069883, 53158796477452, 1834276943996477, 68212851126889959, 2719975462998554200, 115777392670653923870, 5240030485305934701421, 251291379101960875175412 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..20.

FORMULA

G.f.: 1 - 1 / (1 + Sum_{k>=1} k^(k-2) * x^k).

MATHEMATICA

a[n_] := a[n] = n^(n - 2) - Sum[k^(k - 2) a[n - k], {k, 1, n - 1}]; Table[a[n], {n, 1, 20}]

nmax = 20; CoefficientList[Series[1 - 1/(1 + Sum[k^(k - 2) x^k, {k, 1, nmax}]), {x, 0, nmax}], x] // Rest

CROSSREFS

Cf. A000272, A003319, A277611, A296715, A332238.

Sequence in context: A131407 A197994 A186273 * A261886 A245895 A231229

Adjacent sequences:  A332236 A332237 A332238 * A332240 A332241 A332242

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 14 09:22 EDT 2020. Contains 335720 sequences. (Running on oeis4.)