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A304798
Denominators of sign-alternating Egyptian fraction expansion for 1/phi (=(sqrt(5)-1)/2).
0
1, 2, 8, 143, 37042, 1563518960, 6534294597508602915, 365905726475037211039550490160754059749, 191234231522546096496793980270535044877607924567064996105428722406747743518730
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