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A367833 a(n) = Product_{k=0..n} (n^8 + k^8). 6
0, 2, 33685504, 3851231199376068, 2670340833224951538384896, 8442437541556000328575439453125000, 96982590530284083757788173242580213780447232, 3406021755102121469537208768079471859185253483110025744 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) ~ 2^(n + 1/2) * ((2 + sqrt(2 + sqrt(2)))/(2 - sqrt(2 + sqrt(2))))^(sqrt(2 + sqrt(2))*n/2) * (sqrt(2) - 1 + sqrt(4 - 2*sqrt(2)))^(sqrt(2 - sqrt(2))*n) * exp((Pi/sqrt(2 - sqrt(2)) - 8)*n) * n^(8*(n + 1)).
MATHEMATICA
Table[Product[n^8 + k^8, {k, 0, n}], {n, 0, 10}]
CROSSREFS
Cf. A367834.
Sequence in context: A301810 A296627 A247214 * A135235 A334022 A263645
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Dec 02 2023
STATUS
approved

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Last modified July 15 14:07 EDT 2024. Contains 374332 sequences. (Running on oeis4.)