A198613 - OEIS

%I #11 Apr 23 2025 12:50:43

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

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

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

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

%C See A198414 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 -0.3397076235270913032171630086935943839693...

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

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

%t Plot[{f[x], g[x]}, {x, -.5, .1}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.34, -.33}, WorkingPrecision -> 110]

%t RealDigits[r](* A198613 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 28 2011

%E Offset corrected by _Georg Fischer_, Aug 01 2021