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A272238
a(n) = Product_{k=0..n} (n^2+k)!.
4
1, 2, 2073600, 25177856146146034974720000000, 14100949826093501607549529280892932893801777581548587107609477120000000000000000
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OFFSET
0,2
COMMENTS
The next term has 173 digits.
LINKS
Table of n, a(n) for n=0..4.
FORMULA
a(n) = ((n^2+n)!)^(n+1) /
A272237
(n).
a(n) ~ exp(11/24 + n/6 - n^2 - n^3) * n^((1+n)*(1 + n + 2*n^2)) * (2*Pi)^((n+1)/2).
MATHEMATICA
Table[Product[(n^2+k)!, {k, 0, n}], {n, 0, 6}]
Table[BarnesG[n^2 + n + 2]/BarnesG[n^2 + 1], {n, 0, 6}]
CROSSREFS
Cf.
A135860
,
A272164
,
A272180
,
A272237
,
A272241
.
Sequence in context:
A303433
A253264
A124368
*
A303255
A322096
A037051
Adjacent sequences:
A272235
A272236
A272237
*
A272239
A272240
A272241
KEYWORD
nonn
,
easy
AUTHOR
Vaclav Kotesovec
, Apr 23 2016
STATUS
approved
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Last modified August 30 00:57 EDT 2024. Contains 375520 sequences. (Running on oeis4.)