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 A255910 #26 Aug 05 2024 17:31:16 %S A255910 1,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, %T A255910 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, %U A255910 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7 %N A255910 Decimal expansion of 16/9. %C A255910 Cutting the unit square [0,1] x [0,1] into two equal areas with a parabolic curve y = A*x^2 requires A to be 16/9. If you extend this to an arbitrary square [0,s] x [0,s], A = (16/9)*s. %C A255910 Except for the first terms, identical to A186684, A021040 and A010727. %H A255910 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A255910 From _Elmo R. Oliveira_, Aug 05 2024: (Start) %F A255910 G.f.: x + 7*x^2/(1 - x). %F A255910 E.g.f.: 7*(exp(x) - 1) - 6*x. %F A255910 a(n) = 7 - 6*0^(n-1). %F A255910 a(n) = 7, n > 1. (End) %e A255910 1.7777777777777777777777777777... %t A255910 RealDigits[16/9, 10, 100][[1]] (* _Vincenzo Librandi_, Mar 24 2015 *) %o A255910 (PARI) x=16/9; for(n=1, 100, d=floor(x); x=(x-d)*10; print1(d,", ")) %Y A255910 Cf. A010727, A021040, A122553, A186684. %K A255910 nonn,cons,easy,less %O A255910 1,2 %A A255910 _Derek Orr_, Mar 10 2015