OFFSET
0,1
COMMENTS
It was conjectured (but remains unproved) that this sequence is infinite and aperiodic, but it is difficult to determine who first posed this problem. - Vladimir Reshetnikov, Apr 27 2013
LINKS
Harry J. Smith, Table of n, a(n) for n = 0..20000
Eric Weisstein's World of Mathematics, Transcendental Number.
Wikipedia, Irrational number, Open questions.
EXAMPLE
3814279.104760220592209... = 3814279 + 1/(9 + 1/(1 + 1/(1 + 1/(4 + ...)))).
MATHEMATICA
ContinuedFraction[E^E^E, 96] (* Vladimir Reshetnikov, Apr 27 2013 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(exp(exp(exp(1)))); for (n=1, 20001, write("b159825.txt", n-1, " ", x[n])); }
CROSSREFS
KEYWORD
nonn,cofr,easy
AUTHOR
Harry J. Smith, Apr 30 2009
STATUS
approved