A199058 - OEIS

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

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

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

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

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

%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: -2.2919650412674286490951331183944433...

%e positive:  0.8564305559075611794636325387524829760...

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

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

%t Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, -2.3, -2.2}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A199058 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .85, .86}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199059 *)

%Y Cf. A198866.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Nov 02 2011

%E a(98) onwards corrected by _Georg Fischer_, Aug 01 2021