A199052 - OEIS

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

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

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

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

%N Decimal expansion of least x satisfying x^2+3*sin(x)=-1.

%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 least: -1.39840306895670428191362107010033086...

%e greatest:  -0.3958092344691378375825479943405218925...

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

%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, -1.4, -1.3}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199052 *)

%t r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199053 *)

%Y Cf. A198866.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 02 2011

%E a(92) onwards corrected by _Georg Fischer_, Aug 01 2021