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A344095
a(n) = [x^n] Product_{k>=1} 1 / (1 - n^(k+1)*x^k).
4
1, 1, 24, 1053, 91136, 12671875, 2696063616, 809983364505, 327495685505024, 171227271945676302, 112357985100000000000, 90363823728354065308166, 87385452532420018496864256, 100018623822234988019520698561, 133709300217761726319712591577088
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OFFSET
0,3
LINKS
Vaclav Kotesovec,
Table of n, a(n) for n = 0..213
FORMULA
a(n) ~ n^(2*n).
MATHEMATICA
Table[SeriesCoefficient[Product[1/(1-n^(k+1)*x^k), {k, 1, n}], {x, 0, n}], {n, 0, 20}]
Join[{1}, Table[SeriesCoefficient[x + (1-n)/QPochhammer[n, n*x], {x, 0, n}], {n, 1, 20}]]
CROSSREFS
Cf.
A338697
,
A344094
.
Sequence in context:
A222933
A222384
A309421
*
A272690
A112011
A112010
Adjacent sequences:
A344092
A344093
A344094
*
A344096
A344097
A344098
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec
, May 09 2021
STATUS
approved
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Last modified August 17 12:21 EDT 2024. Contains 375210 sequences. (Running on oeis4.)