login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
Hints
(Greetings from
The On-Line Encyclopedia of Integer Sequences
!)
A319176
a(n) = n! * [x^n] Product_{k>=1} 1/(1 - x^k/k)^n.
2
1, 1, 8, 93, 1532, 32240, 829284, 25192454, 882825936, 35055329832, 1555548490560, 76285107738312, 4097094075364608, 239167754501235456, 15077741379436233120, 1020918130521930465120, 73892194568147257761024, 5693112248722998479169408, 465208700406183224884224000
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
0,3
LINKS
Table of n, a(n) for n=0..18.
FORMULA
a(n) = n! * [x^n] exp(n*Sum_{k>=1} Sum_{j>=1} x^(j*k)/(k*j^k)).
MATHEMATICA
Table[n! SeriesCoefficient[Product[1/(1 - x^k/k)^n, {k, 1, n}], {x, 0, n}], {n, 0, 18}]
Table[n! SeriesCoefficient[Exp[n Sum[Sum[x^(j k)/(k j^k), {j, 1, n}], {k, 1, n}]], {x, 0, n}], {n, 0, 18}]
CROSSREFS
Cf.
A007841
,
A294469
,
A299034
,
A319174
,
A319177
.
Sequence in context:
A087579
A194043
A122419
*
A299034
A299339
A299846
Adjacent sequences:
A319173
A319174
A319175
*
A319177
A319178
A319179
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy
, Sep 12 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
|
Recents
The OEIS Community
| Maintained by
The OEIS Foundation Inc.
License Agreements, Terms of Use, Privacy Policy.
.
Last modified July 6 14:15 EDT 2024. Contains 374057 sequences. (Running on oeis4.)