A073581 Factorials successively exponentiated.

1, 1, 2, 36, 48708493958471199415506599153950129703565945470976

Offset

0,3

Comments

a(5) > 10^(10^50).

Links

Table of n, a(n) for n=0..4.

Formula

a(n) = n!^a(n - 1) starting with a(0)=0!=1.

Example

a(3) = 36 because 3!^(2!^(1!^0!)) = 36

Mathematica

a[0] := 1 a[n_Integer] := n!^a[n - 1]

Crossrefs

Cf. A049384, A358972 (exponents left to right).

Sequence in context: A280420 A051459 A358972 * A078081 A077772 A083150

Adjacent sequences: A073578 A073579 A073580 * A073582 A073583 A073584

Keyword

easy,nonn

Author

Jon Kongsvold (Jon.Kongsvold(AT)idi.ntnu.no), Aug 28 2002

Extensions

Edited by Henry Bottomley, Jul 13 2003

Status

approved