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A124075 a(n) = 2^(3^(4^...^n)...). 2
2, 8, 2417851639229258349412352 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

The next term is too large to include.

REFERENCES

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.

LINKS

Table of n, a(n) for n=2..4.

David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated Base-Changing, arXiv:math/0611293 [math.NT], 2006-2007.

David Applegate, Marc LeBrun, N. J. A. Sloane, Descending Dungeons, Problem 11286, Amer. Math. Monthly, 116 (2009) 466-467.

EXAMPLE

a(4) = 2^(3^4) = 2417851639229258349412352.

MATHEMATICA

a[n_] := Fold[#2^#1&, n, Range[2, n-1] // Reverse];

Table[a[n], {n, 2, 4}] (* Jean-Fran├žois Alcover, Oct 10 2018 *)

CROSSREFS

Cf. A014221, A049384, A121263, A121265, A121295, A121296.

Sequence in context: A012672 A024340 A012667 * A260548 A019315 A127558

Adjacent sequences:  A124072 A124073 A124074 * A124076 A124077 A124078

KEYWORD

nonn,bref

AUTHOR

David Applegate and N. J. A. Sloane, Nov 08 2006

STATUS

approved

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Last modified June 16 09:21 EDT 2021. Contains 345056 sequences. (Running on oeis4.)