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 A199393 #8 Feb 07 2025 19:55:48 %S A199393 4,1,1,1,2,9,5,2,1,5,0,2,6,0,0,4,6,8,5,7,4,2,7,8,6,4,7,1,6,9,1,8,4,1, %T A199393 2,8,9,3,0,9,8,1,1,2,5,5,0,7,1,2,2,7,4,1,7,5,8,5,2,4,4,6,1,2,1,6,6,6, %U A199393 4,7,8,7,4,1,2,2,8,7,3,0,2,7,3,8,5,2,1,0,2,4,3,7,7,3,6,1,9,9,9 %N A199393 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=1. %C A199393 See A199370 for a guide to related sequences. The Mathematica program includes a graph. %H A199393 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199393 0.4111295215026004685742786471691841289309811... %t A199393 a = 3; b = 3; c = 1; %t A199393 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c %t A199393 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}] %t A199393 r = x /. FindRoot[f[x] == g[x], {x, .41, .42}, WorkingPrecision -> 110] %t A199393 RealDigits[r] (* A199393 *) %Y A199393 Cf. A199370. %K A199393 nonn,cons %O A199393 0,1 %A A199393 _Clark Kimberling_, Nov 06 2011