|
|
A255358
|
|
Product_{k=0..n} (k^3)!.
|
|
8
|
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
The next term a(4) has 122 digits.
|
|
LINKS
|
|
|
FORMULA
|
a(n) ~ c * n^(29/40 + 3*n/2 + 3*n^2/4 + 3*n^3/2 + 3*n^4/4) * (2*Pi)^(n/2) / exp(n*(n+2)*(12 - 6*n + 7*n^2)/16), where c = A255511 = 4.113740552015338123052453340090368136...
a(n) = Product_{j=1..n^3} j^(n - ceiling(j^(1/3)) + 1). - Vaclav Kotesovec, Apr 25 2024
|
|
MATHEMATICA
|
Table[Product[(k^3)!, {k, 0, n}], {n, 0, 6}]
Table[Product[j^(n - Ceiling[j^(1/3)] + 1), {j, 1, n^3}], {n, 0, 6}] (* Vaclav Kotesovec, Apr 25 2024 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,changed
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|