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 A199385 #8 Feb 07 2025 19:56:27 %S A199385 6,4,5,7,8,0,5,7,5,3,1,6,3,3,7,5,4,1,7,5,6,0,6,6,8,8,8,2,6,2,7,3,6,3, %T A199385 2,4,5,9,5,5,7,5,1,7,5,0,0,8,6,3,8,1,5,8,4,9,0,3,0,0,1,1,7,0,8,5,0,7, %U A199385 0,8,3,3,8,9,5,0,9,6,7,1,2,3,4,0,1,1,4,6,0,4,0,3,0,2,4,5,8,8,0 %N A199385 Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=2. %C A199385 See A199370 for a guide to related sequences. The Mathematica program includes a graph. %H A199385 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199385 0.64578057531633754175606688826273632459557517500... %t A199385 a = 2; b = 3; c = 2; %t A199385 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c %t A199385 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}] %t A199385 r = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110] %t A199385 RealDigits[r] (* A199385 *) %Y A199385 Cf. A199370. %K A199385 nonn,cons %O A199385 0,1 %A A199385 _Clark Kimberling_, Nov 06 2011