OFFSET
1,1
LINKS
Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330.
Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Solution College Mathematics Journal, Vol. 43, No. 4, September 2012, pp. 340-342.
FORMULA
a(n) ~ c^(2^n) with c = 2.918012...
a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 9.
MATHEMATICA
a = {}; r = 9; Do[AppendTo[a, r]; r = r^2 - r + 1, {n, 1, 10}]; a
NestList[#^2-#+1&, 9, 10] (* Harvey P. Dale, Aug 31 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Artur Jasinski, Sep 21 2008
STATUS
approved