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A272241
a(n) = Product_{k=0..n} ((n^2 + k)! / (n^2 - k)!).
4
1, 2, 7200, 474211584000, 1981999450972492922880000, 1401219961854040654113268364083200000000000, 370389015130516478011776928922387124162707119541939129548800000000
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OFFSET
0,2
COMMENTS
The next term has 95 digits.
LINKS
Table of n, a(n) for n=0..6.
FORMULA
a(n) =
A272238
(n) /
A272164
(n).
a(n) ~ exp(5/12) * n^(2*n*(n+1)).
MATHEMATICA
Table[Product[(n^2+k)!/(n^2-k)!, {k, 0, n}], {n, 0, 7}]
Table[BarnesG[n^2 - n + 1]*BarnesG[n^2 + n + 2]/(BarnesG[n^2 + 2]*BarnesG[n^2 + 1]), {n, 0, 6}]
CROSSREFS
Cf.
A103207
,
A272164
,
A272238
,
A371642
.
Sequence in context:
A129057
A201508
A322126
*
A171939
A104904
A272247
Adjacent sequences:
A272238
A272239
A272240
*
A272242
A272243
A272244
KEYWORD
nonn
,
easy
AUTHOR
Vaclav Kotesovec
, Apr 23 2016
STATUS
approved
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Last modified September 17 12:04 EDT 2024. Contains 375987 sequences. (Running on oeis4.)