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

%I #10 Feb 07 2025 16:44:05

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

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

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

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

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

%e 0.7362321505547481995608918925890768129939...

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

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, .73, .74}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198425 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 25 2011

%E a(89) onwards corrected by _Georg Fischer_, Aug 01 2021