OFFSET
0,2
COMMENTS
This Egyptian expansion is produced using a greedy rule.
EXAMPLE
a(0)=1 since 1/phi is between 1/1 and 1/2 and 1/1 > 1/phi; i.e., floor(1/(1/phi)) = 1.
a(1)=2 since floor(1/(1/a(0) - 1/phi)) = 2.
a(2)=8 since floor(1/(1/phi - (1/a(0)-1/(a(1)))) = 8, and so on.
CROSSREFS
KEYWORD
easy,frac,nonn
AUTHOR
Greg Huber, May 18 2018
STATUS
approved