A198581 - OEIS

%I #12 Feb 07 2025 16:44:05

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

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

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

%N Decimal expansion of x > 0 satisfying 3*x^2-4*x = 3*sin(x).

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

%e 1.852057182236264653607195402264941415694580012...

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

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

%t Plot[{f[x], g[x]}, {x, -.1, 2}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.9}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198581 *)

%Y Cf. A198414.

%K nonn,cons,changed

%O 1,2

%A _Clark Kimberling_, Oct 27 2011

%E Offset corrected by _Georg Fischer_, Aug 01 2021