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A198494 Decimal expansion of x>0 having 2x^2+x=3*sin(x). 2

%I

%S 8,3,2,6,0,2,2,2,1,7,6,6,6,8,9,5,5,9,5,4,1,7,0,6,5,2,0,5,9,7,9,3,4,9,

%T 7,4,0,5,6,7,1,3,1,2,5,5,3,8,7,7,4,9,7,2,1,8,6,2,5,4,5,8,6,8,8,0,9,3,

%U 6,9,0,1,6,2,4,5,2,3,1,7,9,5,6,9,8,5,6,0,4,1,6,5,2,1,2,4,9,2,5

%N Decimal expansion of x>0 having 2x^2+x=3*sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.8326022217666895595417065205979...

%t a = 2; b = 1; c = 3;

%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -1, 1}]

%t r = x /. FindRoot[f[x] == g[x], {x, .83, .84}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198494 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 25 2011

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Last modified June 6 10:01 EDT 2020. Contains 334860 sequences. (Running on oeis4.)