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 A073822 #22 Mar 27 2020 02:59:19 %S A073822 5,8,8,8,7,3,9,5,2,5,4,8,9,3,3,5,0,7,6,7,1,2,3,1,1,2,1,2,4,6,7,8,7,3, %T A073822 8,4,0,7,9,9,9,0,8,4,8,3,9,1,3,1,8,7,5,9,5,6,8,8,2,2,7,9,5,6,4,5,9,4, %U A073822 7,2,4,5,9,3,5,2,0,5,8,7,7,9,1,5,1,5,0,1,1,4,0,1,3,8,2,0,6,8,9,5,2,7,5,4 %N A073822 Decimal expansion of number with continued fraction expansion 0, 1, 1, 2, 3, 5, ... (the Fibonacci numbers). %C A073822 Is anything known about the properties of this number? - Edray Herber Goins (ehgoins(AT)mac.com), Jun 27 2004 %C A073822 Wolf (2010), in addition to prime numbers, also ponders continued fractions from the factorials (f) and from the Fibonacci numbers (F), remarking that "both f and F also should be transcendental but we are not aware of the proof of this fact," and that the Davenport-Roth theorem is of no help. - _Alonso del Arte_, Mar 06 2012 %H A073822 Marek Wolf, <a href="http://arxiv.org/abs/1003.4015">"Continued fractions constructed from prime numbers"</a> arXiv:1003.4015 [math.NT] Sep 26 2010 %e A073822 0.58887395254893350767123112124... %t A073822 RealDigits[FromContinuedFraction[Fibonacci[Range[0,100]]],10,120][[1]] (* _Harvey P. Dale_, Mar 06 2012 *) %o A073822 (PARI) dec_exp(v)= w=contfracpnqn(v); w[1,1]/w[2,1]+0. dec_exp(vector(1000,i,fibonacci(i-1))) %Y A073822 Cf. A000045 (Fibonacci numbers). %K A073822 cons,nonn %O A073822 0,1 %A A073822 _Rick L. Shepherd_, Aug 12 2002