

A050924


a(n) = (a(n1)+1)^(a(n1)), a(0) = 0.


15




OFFSET

0,3


COMMENTS

Let S(1) c S(2) c ... c S(n) c ... be an increasing sequence of sets of partial functions that is defined as follows: S(0) = empty set, S(n) = {partial functions: S(n1) > S(n1)}. Then S(n) = a(n).  Jon Awbrey, Jul 04 2005


LINKS

Table of n, a(n) for n=0..4.
J. Awbrey, Riffs and Rotes


MATHEMATICA

NestList[(#+1)^#&, 0, 4] (* Harvey P. Dale, Aug 13 2020 *)


CROSSREFS

Cf. A109300, A109301.
Sequence in context: A309861 A140319 A120314 * A181500 A189876 A189867
Adjacent sequences: A050921 A050922 A050923 * A050925 A050926 A050927


KEYWORD

easy,nonn


AUTHOR

Klaus Strassburger (strass(AT)ddfi.uniduesseldorf.de), Dec 30 1999


EXTENSIONS

The next term is approximately e * 10^9000000000, with nineplace accuracy.  Franklin T. AdamsWatters, Nov 16 2006
a(5) = 2.7182818270999043223766*10^9000000000 = e * 10^9000000000 * 0.9999999995000000004583.  Jon E. Schoenfield, Nov 24 2013


STATUS

approved



