cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A304798 #21 Dec 04 2024 16:10:30
%S A304798 1,2,8,143,37042,1563518960,6534294597508602915,
%T A304798 365905726475037211039550490160754059749,
%U A304798 191234231522546096496793980270535044877607924567064996105428722406747743518730
%N A304798 Denominators of sign-alternating Egyptian fraction expansion for 1/phi (=(sqrt(5)-1)/2).
%C A304798 This Egyptian expansion is produced using a greedy rule.
%e A304798 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.
%e A304798 a(1)=2 since floor(1/(1/a(0) - 1/phi)) = 2.
%e A304798 a(2)=8 since floor(1/(1/phi - (1/a(0)-1/a(1)))) = 8, and so on.
%Y A304798 Cf. A117116, A014015, A014013.
%K A304798 easy,frac,nonn
%O A304798 0,2
%A A304798 _Greg Huber_, May 18 2018