

A260614


Product of the first n ultrafactorials ((n!)^(n!)).


1




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
Index to divisibility sequences


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

Cf. A000178, A046882.
Sequence in context: A239021 A193151 A034209 * A300286 A058430 A079286
Adjacent sequences: A260611 A260612 A260613 * A260615 A260616 A260617


KEYWORD

nonn,easy


AUTHOR

Matthew Campbell, Aug 13 2015


STATUS

approved



