A197387 - OEIS

%I #16 Apr 10 2021 11:31:55

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

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

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

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

%C The Mathematica program includes a graph. See A197133 for a guide to least x > 0 satisfying sin(b*x) = sin(c*x)^2 for selected b and c.

%e x=2.15321506668269833543390122784461348429261632049...

%t b = Pi/3; c = 1/2; f[x_] := Sin[x]

%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 2.5}, WorkingPrecision -> 200]

%t RealDigits[t] (* A197387 *)

%t Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}]

%Y Cf. A197133.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 14 2011

%E Incorrect term a(99) removed by _Andrew Howroyd_, Jan 17 2018