A260614 Product of the first n ultrafactorials ((n!)^(n!)).

1, 1, 4, 186624, 248907105618907424441185380787996852224

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