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A086775
Decimal expansion of the number defined by the continued fraction shown below.
0
4, 7, 7, 2, 5, 9, 9, 9, 6, 4, 7, 4, 0, 1, 9, 6, 4, 4, 5, 4, 2, 2, 2, 9, 8, 8, 4, 5, 0, 0, 6, 4, 4, 4, 6, 5, 4, 4, 6, 1, 0, 2, 3, 4, 7, 7, 6, 8, 0, 7, 4, 0, 3, 2, 2, 6, 9, 3, 2, 6, 9, 2, 3, 9, 4, 9, 2, 7, 7, 3, 8, 7, 9, 4, 5, 0, 7, 6, 1, 6, 4, 0, 4, 4, 9, 7, 6, 4, 1, 0, 1, 1, 8, 0, 8, 0, 2, 1, 5, 7, 2, 7, 6, 8, 7
OFFSET
0,1
COMMENTS
This number is the inverse of the number whose decimal expansion is A136319. It is also the latter number minus phi. - Geoffrey Caveney, Apr 18 2014
FORMULA
Repeat s = s + phi; s=1/s. The initial value of s is irrelevant.
Equals (sqrt(5+phi)-phi)/2, where phi = A001622. - R. J. Mathar, Sep 15 2012
EXAMPLE
1
------
phi + 1
.... ------
.... phi + 1
......... -------
......... phi + etc
Equals 0.477259996...
PROG
(PARI) ?\p 2000 ?f(n) = phi=(sqrt(5)+1)/2; s=0; for(x=1, n, s=s+phi; s=1/s); print(s)
CROSSREFS
Sequence in context: A182997 A097916 A176529 * A132266 A084104 A271026
KEYWORD
easy,nonn,cons
AUTHOR
Cino Hilliard, Aug 03 2003
STATUS
approved