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 A275614 #20 Mar 29 2025 18:15:38 %S A275614 6,9,1,5,9,4,1,9,2,4,2,1,9,7,8,0,8,4,2,8,2,8,9,2,8,6,6,9,2,6,4,3,0,6, %T A275614 3,6,8,3,3,8,0,1,4,3,6,9,6,2,9,5,5,4,7,7,3,3,3,5,5,0,7,0,9,8,9,1,7,3, %U A275614 2,6,6,8,9,2,5,2,7,8,1,0,1,1,9,0,7,7,4 %N A275614 Decimal expansion of number with continued fraction expansion 0, 1, 2, 4, 8, 16, 32, ... (powers of 2). %F A275614 From _Amiram Eldar_, Feb 08 2022: (Start) %F A275614 Equals 1/A214070. %F A275614 Equals 1/(1 + A096641). (End) %e A275614 0.69159419242197808428289286692643... %o A275614 (PARI) terms=sqrtint(bitprecision(1.))+2; \\ terms needed at current precision %o A275614 t=contfracpnqn(vector(terms,i,.5<<i)); %o A275614 t[2,1]/t[1,1] \\ _Charles R Greathouse IV_, Aug 04 2016 %Y A275614 Cf. A000079, A096641, A214070. %K A275614 nonn,cons %O A275614 0,1 %A A275614 _José Eduardo Gaboardi de Carvalho_, Aug 03 2016 %E A275614 Definition corrected by _Jianing Song_, Mar 29 2025