A086775 Decimal expansion of the number defined by the continued fraction shown below.

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

Links

Table of n, a(n) for n=0..104.

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

Adjacent sequences: A086772 A086773 A086774 * A086776 A086777 A086778

Keyword

easy,nonn,cons

Author

Cino Hilliard, Aug 03 2003

Status

approved