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Search: id:A049384
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| A049384 |
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a(0)=1, a(n+1)=(n+1)^a(n) |
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+0
12
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OFFSET
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0,3
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COMMENT
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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.
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REFERENCES
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David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons, Problem 11286, Amer. Math. Monthly, 116 (2009) 466-467.
David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated Base-Changing, in "The Mathematics of Preference, Choice and Order: Essays in Honor of Peter Fishburn", edited by Steven Brams, William V. Gehrlein and Fred S. Roberts, Springer, 2009, pp. 393-402.
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LINKS
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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
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EXAMPLE
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a(4) = 4^9 = 262144.
a(5) = 5^262144 has 183231 decimal digits. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Feb 15 2002
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MATHEMATICA
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Expofactorial[0]:=1; Expofactorial[n_Integer]:=n^Expofactorial[n-1]; (Arrighetti)
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CROSSREFS
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Cf. A000142.
Sequence in context: A027734 A028581 A030252 this_sequence A132859 A103562 A140319
Adjacent sequences: A049381 A049382 A049383 this_sequence A049385 A049386 A049387
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KEYWORD
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nonn
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AUTHOR
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Marcel Jackson (Marcel.Jackson(AT)utas.edu.au)
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