A199064 - OEIS

%I #7 Jan 30 2025 12:04:16

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

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

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

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

%C See A198866 for a guide to related sequences.  The Mathematica program includes a graph.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e negative: -1.21165128243157712269097010844196865387...

%e positive:  0.80067830457009112112413406604532756205...

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

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

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199063 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .80, .81}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199064 *)

%Y Cf. A198866.

%K nonn,cons,changed

%O 0,1

%A _Clark Kimberling_, Nov 02 2011