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.
%I A328912 #26 Mar 07 2024 05:40:03 %S A328912 0,1,2,3,1,2,3,2,4,2,1,2,11,2,1,11,1,1,134,2,2,2,1,4,1,1,3,1,7,1,13,1, %T A328912 3,5,1,1,1,8,1,3,4,1,1,1,3,4,1,3,1,4,1,4,1,3,40,1,1,5,4,3,3,1,3,1,2,6, %U A328912 1,1,2,28,11,1,71,2,1,4,8,5,1,2,1,1,14 %N A328912 Continued fraction expansion of log_2((sqrt(5)+1)/2) = 0.6942419... = A242208. %C A328912 This number is also the solution to 1 + 2^x = 4^x, or 1 + 1/2^x = 2^x, which clarifies the relation to Phi = (sqrt(5)+1)/2, solution to 1 + 1/x = x. %H A328912 Paolo Xausa, <a href="/A328912/b328912.txt">Table of n, a(n) for n = 0..10000</a> %e A328912 log_2((sqrt(5)+1)/2) = 0.6942419... = 0 + 1/(1 + 1/(2 + 1/(3 + 1/(1 + ...)))) %t A328912 ContinuedFraction[Log2[GoldenRatio], 100] (* _Paolo Xausa_, Mar 07 2024 *) %o A328912 (PARI) localprec(1000); contfrac(log(sqrt(5)+1)/log(2)-1) %Y A328912 Cf. A242208, A001622 (decimals of Phi), A000012 (cont. frac. of Phi). %K A328912 nonn,cofr %O A328912 0,3 %A A328912 _M. F. Hasler_, Oct 31 2019 %E A328912 Some terms corrected by _Paolo Xausa_, Mar 07 2024