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 A199055 #8 Feb 07 2025 16:44:05 %S A199055 3,0,6,7,5,5,3,5,4,1,3,7,7,5,3,0,0,7,0,1,1,6,5,1,6,3,4,7,3,3,3,6,0,1, %T A199055 4,7,8,3,9,0,9,6,1,9,0,2,7,0,1,9,8,4,5,7,0,9,0,6,8,2,0,2,0,1,6,0,2,4, %U A199055 1,5,1,1,8,4,1,3,1,8,1,3,2,9,5,8,2,5,5,6,2,4,2,4,6,7,4,5,1,5,2 %N A199055 Decimal expansion of x>0 satisfying x^2+3*sin(x)=1. %C A199055 See A198866 for a guide to related sequences. The Mathematica program includes a graph. %H A199055 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199055 negative: -1.946877744670682908335473546697723... %e A199055 positive: 0.30675535413775300701165163473336014... %t A199055 a = 1; b = 3; c = 1; %t A199055 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c %t A199055 Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}] %t A199055 r = x /. FindRoot[f[x] == g[x], {x, -2, -1.9}, WorkingPrecision -> 110] %t A199055 RealDigits[r] (* A199054 *) %t A199055 r = x /. FindRoot[f[x] == g[x], {x, .3, .31}, WorkingPrecision -> 110] %t A199055 RealDigits[r] (* A199055 *) %Y A199055 Cf. A198866. %K A199055 nonn,cons %O A199055 0,1 %A A199055 _Clark Kimberling_, Nov 02 2011