A073581 - OEIS

A073581

Factorials successively exponentiated.

1, 1, 2, 36, 48708493958471199415506599153950129703565945470976

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OFFSET

0,3

COMMENTS

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

LINKS

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).

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