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A345726 a(n) = Product_{k=1..n} k^(floor(n/k)^2). 1
1, 2, 6, 192, 960, 4976640, 34836480, 2283043553280, 4993016251023360, 3195530400654950400000, 35150834407204454400000, 417877827219530751882239882035200000, 5432411753853899774469118466457600000, 213700126654516647665669790727613605478400000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
log(a(n)) ~ c * n^2, where c = -zeta'(2) = A073002.
MATHEMATICA
Table[Product[k^(Floor[n/k]^2), {k, 1, n}], {n, 1, 15}]
PROG
(PARI) a(n) = prod(k=1, n, k^((n\k)^2)); \\ Michel Marcus, Jun 26 2021
(Magma) [(&*[j^(Floor(n/j))^2: j in [1..n]]): n in [1..30]]; // G. C. Greubel, Feb 05 2024
(SageMath) [product(j^((n//j)^2) for j in range(1, n+1)) for n in range(1, 31)] # G. C. Greubel, Feb 05 2024
CROSSREFS
Sequence in context: A252740 A055696 A158096 * A302344 A156517 A333944
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jun 25 2021
STATUS
approved

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Last modified May 18 03:43 EDT 2024. Contains 372618 sequences. (Running on oeis4.)