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 A199395 #8 Feb 07 2025 19:56:58
%S A199395 5,8,5,6,3,5,4,7,6,4,9,1,1,1,7,7,7,8,2,0,0,5,9,9,5,4,4,5,5,9,5,9,2,3,
%T A199395 2,4,9,0,9,9,8,7,7,8,4,7,4,5,6,3,3,2,8,8,2,7,8,4,2,1,7,7,4,8,8,1,2,4,
%U A199395 5,4,0,1,1,4,7,5,5,0,2,1,7,2,6,1,5,7,1,7,0,6,6,5,0,2,1,1,2,9,1
%N A199395 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=2.
%C A199395 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199395 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199395 0.585635476491117778200599544559592324909987784745...
%t A199395 a = 3; b = 3; c = 2;
%t A199395 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199395 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199395 r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
%t A199395 RealDigits[r] (* A199395 *)
%Y A199395 Cf. A199370.
%K A199395 nonn,cons
%O A199395 0,1
%A A199395 _Clark Kimberling_, Nov 06 2011