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A371468
a(n) = Product_{k=0..n} (n^3 + k^3)!.
2
1, 2, 306128067620555980800000
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OFFSET
0,2
COMMENTS
The next term a(3) has 169 digits.
LINKS
Table of n, a(n) for n=0..2.
FORMULA
a(n) ~ 2^(2*n^4 + n^3 + n^2/4 + 3*n/2 + 89/120) * Pi^((n+1)/2) * exp(Pi*sqrt(3)*n^4/4 - 59*n^4/16 - 3*n^3/2 - 3*n/2 + Pi*n/(2*sqrt(3)) - 9/320) * n^(15*n^4/4 + 9*n^3/2 + 3*n^2/4 + 3*n/2 + 3/2).
MATHEMATICA
Table[Product[(n^3 + k^3)!, {k, 0, n}], {n, 0, 5}]
CROSSREFS
Cf.
A296591
,
A371643
,
A371646
.
Sequence in context:
A309968
A082566
A273400
*
A118019
A309966
A154424
Adjacent sequences:
A371465
A371466
A371467
*
A371469
A371470
A371471
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec
, Apr 01 2024
STATUS
approved
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Last modified June 29 16:57 EDT 2024. Contains 373855 sequences. (Running on oeis4.)