A198545 - OEIS

%I #10 Aug 01 2021 11:21:18

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

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

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

%N Decimal expansion of x < 0 having 4*x^2+4*x = 3*sin(x).

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

%e -0.258312912377523926032734073951982530...

%t a = 4; b = 4; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -.3, .1}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198545 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 26 2011

%E a(86) onwards corrected by _Georg Fischer_, Aug 01 2021