# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/

Search: id:a198566
Showing 1-1 of 1

%I A198566 #7 Feb 07 2025 16:44:05
%S A198566 1,7,7,5,6,9,0,6,2,0,3,6,4,4,8,1,1,3,9,3,2,4,8,0,1,8,5,2,3,3,7,8,6,0,
%T A198566 9,6,0,2,7,5,1,1,5,6,4,1,9,4,2,4,1,6,1,8,8,0,4,7,9,7,5,9,8,3,2,1,3,4,
%U A198566 0,5,4,8,4,4,9,6,4,3,2,6,2,0,1,9,5,4,6,6,8,8,0,6,4,0,7,4,9,8,4
%N A198566 Decimal expansion of x>0 satisfying 2*x^2-3x=sin(x).
%C A198566 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e A198566 x=1.775690620364481139324801852337860960275115...
%t A198566 a = 2; b = -3; c = 1;
%t A198566 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198566 Plot[{f[x], g[x]}, {x, -.2, 2}]
%t A198566 r = x /. FindRoot[f[x] == g[x], {x, 1.77, 1.78}, WorkingPrecision -> 110]
%t A198566 RealDigits[r] (* A198566 *)
%Y A198566 Cf. A198414.
%K A198566 nonn,cons
%O A198566 1,2
%A A198566 _Clark Kimberling_, Oct 27 2011

# Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE