OFFSET
1,1
COMMENTS
Continued fraction expansion of a is in A109090. Conjecture: a is transcendental.
FORMULA
a in (a, b) = lim(n->infinity)A^n(1, 1) with A(x, y) = (x+y/x, y/x).
EXAMPLE
a = 2.8155726498893784774595677676731...
PROG
(PARI) N=380; a=1.; b=1; for(i=1, N, b/=a; a+=b); a
CROSSREFS
KEYWORD
AUTHOR
Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Jun 20 2005
EXTENSIONS
Offset corrected by R. J. Mathar, Feb 05 2009
STATUS
approved