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 A198417 #8 Feb 07 2025 16:44:05
%S A198417 7,9,5,5,8,9,8,7,3,4,7,3,9,2,5,1,8,1,8,0,6,2,7,3,2,5,9,0,1,3,0,3,5,9,
%T A198417 6,1,1,2,8,1,7,1,0,6,4,5,4,6,1,3,4,7,0,5,2,9,8,3,1,3,2,8,0,2,2,5,6,5,
%U A198417 7,5,1,8,1,3,4,1,9,2,8,4,2,3,3,9,2,4,8,3,5,1,6,8,9,4,0,1,5,8,8
%N A198417 Decimal expansion of x>0 having x^2+x=2*sin(x).
%C A198417 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198417 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198417 0.795589873473925181806273259013035961...
%t A198417 a = 1; b = 1; c = 2;
%t A198417 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198417 Plot[{f[x], g[x]}, {x, -1, 1}]
%t A198417 r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]
%t A198417 RealDigits[r] (* A198417 *)
%o A198417 (PARI) solve(x=.7,1, x^2+x-2*sin(x)) \\ _Charles R Greathouse IV_, Jan 28 2025
%Y A198417 Cf. A198414.
%K A198417 nonn,cons
%O A198417 0,1
%A A198417 _Clark Kimberling_, Oct 24 2011