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

1, 1, 4, 186624, 248907105618907424441185380787996852224

Offset: 0

Author

Matthew Campbell, Aug 13 2015

Keywords

• nonn
• easy

Comments

a(6) is about 10^2345.

This could be called a superultrafactorial by analogy with factorial and superfactorial.

Examples

			a(3) = (1!)^(1!) * (2!)^(2!) * (3!)^(3!) = 1^1 * 2^2 * 6^6 = 1 * 4 * 46656 = 186624.
		

Links

• Matthew Campbell, Table of n, a(n) for n = 0..5
• Index to divisibility sequences

Crossrefs

Cf. A000178, A046882.

Programs

Magma

[Factorial(n)^Factorial(n): n in [0..5]]; // Vincenzo Librandi, Aug 29 2015

Mathematica

Table[Product[(m!)^(m!), {m, 0, n}], {n, 0, 5}]

PARI

a(n)=prod(k=2,n,k!^k!) \\ Charles R Greathouse IV, Aug 14 2015

Formula

a(n) = Product_{k=1..n} A046882(k).