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A049384 a(0)=1, a(n+1)=(n+1)^a(n) +0
11
1, 1, 2, 9, 262144 (list; graph; listen)
OFFSET

0,3

COMMENT

An "exponential factorial".

Might also be called the "expofactorial" of n. - Walter Arrighetti (walter.arrighetti(AT)fastwebnet.it), Jan 16 2006

The next term is too large to include.

LINKS

David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated Base-Changing (arXiv:math.NT/0611293).

Walter Arrighetti, LabCEM, Department of Electronic Engineering, Univ. degli Studi di Roma "La Sapienza".

Walter Arrighetti, Double Vision [Broken link?]

Vladimir Orlovsky, Very Big Number, Feb 19 1999

Eric Weisstein's World of Mathematics, Exponential Factorial

EXAMPLE

a(4) = 4^9 = 262144.

a(5) = 5^262144 has 183231 decimal digits. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Feb 15 2002

MATHEMATICA

Expofactorial[0]:=1; Expofactorial[n_Integer]:=n^Expofactorial[n-1]; (Arrighetti)

CROSSREFS

Cf. A000142.

Adjacent sequences: A049381 A049382 A049383 this_sequence A049385 A049386 A049387

Sequence in context: A027734 A028581 A030252 this_sequence A132859 A103562 A140319

KEYWORD

nonn

AUTHOR

Marcel Jackson (Marcel.Jackson(AT)utas.edu.au)

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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