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 A199070 #8 Feb 07 2025 16:44:05
%S A199070 8,6,1,0,7,7,6,7,4,7,3,9,5,5,2,9,9,0,2,4,1,9,8,2,3,6,5,6,7,0,3,7,7,6,
%T A199070 3,1,0,9,4,3,0,3,9,3,3,5,8,1,2,7,3,9,0,8,9,2,8,5,6,4,3,0,9,6,2,6,0,8,
%U A199070 4,5,1,8,3,9,2,1,6,9,4,9,3,0,5,8,6,3,0,8,4,2,1,8,8,4,7,9,5,1,1
%N A199070 Decimal expansion of x>0 satisfying 2*x^2+2*sin(x)=3.
%C A199070 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199070 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199070 negative: -1.58112197220741191831288311802822735850...
%e A199070 positive: 0.86107767473955299024198236567037763109430...
%t A199070 a = 2; b = 2; c = 3;
%t A199070 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199070 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199070 r = x /. FindRoot[f[x] == g[x], {x, -1.6, -1.5}, WorkingPrecision -> 110]
%t A199070 RealDigits[r](* A199069 *)
%t A199070 r = x /. FindRoot[f[x] == g[x], {x, .86, .87}, WorkingPrecision -> 110]
%t A199070 RealDigits[r] (* A199070 *)
%Y A199070 Cf. A198866.
%K A199070 nonn,cons
%O A199070 0,1
%A A199070 _Clark Kimberling_, Nov 02 2011