OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..160
FORMULA
log(a(n)) ~ n * log(n)^2 / 2. - Vaclav Kotesovec, Jun 21 2021
a(n) = Product_{k=1..n} ((n+1)/k - 1)^floor(n/k). - Vaclav Kotesovec, Jun 24 2021
MATHEMATICA
Table[Product[Binomial[n, Floor[n/k]], {k, 1, n}], {n, 0, 20}]
Table[Product[((n + 1)/k - 1)^Floor[n/k], {k, 1, n}], {n, 0, 20}] (* Vaclav Kotesovec, Jun 24 2021 *)
PROG
(Magma) [n eq 0 select 1 else (&*[Binomial(n, Floor(n/j)): j in [1..n]]): n in [0..30]]; // G. C. Greubel, Feb 05 2024
(SageMath) [product(binomial(n, (n//j)) for j in range(1, n+1)) for n in range(31)] # G. C. Greubel, Feb 05 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jun 20 2021
STATUS
approved