A304798 Denominators of sign-alternating Egyptian fraction expansion for 1/phi (=(sqrt(5)-1)/2).

1, 2, 8, 143, 37042, 1563518960, 6534294597508602915, 365905726475037211039550490160754059749, 191234231522546096496793980270535044877607924567064996105428722406747743518730

Offset: 0

Author

Greg Huber, May 18 2018

Keywords

• easy
• frac
• nonn

Comments

This Egyptian expansion is produced using a greedy rule.

Examples

			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

Cf. A117116, A014015, A014013.