login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A298985 a(n) = [x^n] Product_{k>=1} 1/(1 - n*x^k)^k. 5
1, 1, 8, 54, 496, 5400, 73728, 1204322, 23167808, 512093178, 12781430600, 355128859129, 10863077554224, 362572265689777, 13107541496092960, 510105773344747725, 21258690342206888192, 944467894258279964254, 44555341678790400325512, 2224158766859058600584834, 117123916650423288611260400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..380

FORMULA

a(n) ~ n^n. - Vaclav Kotesovec, Feb 02 2018

MAPLE

b:= proc(n, i, k) option remember;   `if`(n=0, 1, `if`(i<1, 0,

      add(binomial(i+j-1, j)*b(n-i*j, i-1, k)*k^j, j=0..n/i)))

    end:

a:= n-> b(n$3):

seq(a(n), n=0..30);  # Alois P. Heinz, Sep 23 2018

MATHEMATICA

Table[SeriesCoefficient[Product[1/(1 - n x^k)^k, {k, 1, n}], {x, 0, n}], {n, 0, 20}]

CROSSREFS

Cf. A000219, A124577, A261561, A261565, A266941, A297329, A298986, A298987, A298988.

Sequence in context: A263885 A002775 A079754 * A142703 A138403 A013499

Adjacent sequences:  A298982 A298983 A298984 * A298986 A298987 A298988

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jan 31 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 December 9 03:27 EST 2019. Contains 329872 sequences. (Running on oeis4.)