A073581 Factorials successively exponentiated.

1, 1, 2, 36, 48708493958471199415506599153950129703565945470976

Offset: 0

Author

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

Keywords

• easy
• nonn

Comments

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

Examples

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

Crossrefs

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

Programs

Mathematica

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

Formula

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

Extensions

Edited by Henry Bottomley, Jul 13 2003