A198605 - OEIS

%I #9 Apr 18 2016 17:18:36

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

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

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

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

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

%e x=1.176921059464366442841871452208606113369...

%t a = 2; b = 0; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -.1, 1.3}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198605 *)

%o (PARI) solve(x=1,2,3*sin(x)-2*x^2) \\ _Charles R Greathouse IV_, Apr 18 2016

%Y Cf. A198414.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 27 2011