OFFSET
0,3
COMMENTS
a(6) is about 10^2345.
This could be called a superultrafactorial by analogy with factorial and superfactorial.
LINKS
Matthew Campbell, Table of n, a(n) for n = 0..5
FORMULA
a(n) = Product_{k=1..n} A046882(k).
EXAMPLE
a(3) = (1!)^(1!) * (2!)^(2!) * (3!)^(3!) = 1^1 * 2^2 * 6^6 = 1 * 4 * 46656 = 186624.
MATHEMATICA
Table[Product[(m!)^(m!), {m, 0, n}], {n, 0, 5}]
PROG
(PARI) a(n)=prod(k=2, n, k!^k!) \\ Charles R Greathouse IV, Aug 14 2015
(Magma) [Factorial(n)^Factorial(n): n in [0..5]]; // Vincenzo Librandi, Aug 29 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Matthew Campbell, Aug 13 2015
STATUS
approved