OFFSET
0,3
LINKS
Harry J. Smith, Table of n, a(n) for n=0..27
FORMULA
a(n) = a(n-1)*A000442(n). - R. J. Mathar, Sep 26 2020
From Vaclav Kotesovec, Nov 23 2023: (Start)
a(n) = A000178(n)^3.
a(n) ~ (2*Pi)^(3*n/2 + 3/2) * n^(3*n^2/2 + 3*n + 5/4) / (A^3 * exp(9*n^2/4 + 3*n - 1/4)), where A is the Glaisher-Kinkelin constant A074962. (End)
MATHEMATICA
Table[Product[k!^3, {k, 0, n}], {n, 0, 10}] (* Vaclav Kotesovec, Nov 23 2023 *)
PROG
(PARI) for(n=0, 11, print(prod(k=1, n, factorial(k)^3)))
(PARI) { for (n=0, 27, write("b061719.txt", n, " ", prod(k=2, n, k!^3)) ) } \\ Harry J. Smith, Jul 26 2009
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jason Earls, Jun 20 2001
EXTENSIONS
Terms corrected according to Jason Earls's instructions by Harry J. Smith, Jul 26 2009
STATUS
approved