cp's OEIS Frontend

A198918 Decimal expansion of x>0 satisfying 3*x^2+cos(x) = 4.

%I A198918 #9 Feb 07 2025 17:46:07
%S A198918 1,0,8,5,2,5,1,0,1,3,1,3,9,7,5,8,0,2,0,5,1,2,0,9,3,9,4,8,3,2,7,6,0,5,
%T A198918 7,9,1,8,8,9,8,4,5,7,3,6,3,5,1,2,4,7,5,3,6,8,1,7,9,2,7,2,9,9,0,5,7,1,
%U A198918 1,2,1,4,8,5,4,4,4,2,7,8,0,4,6,9,7,9,1,9,4,3,7,8,3,5,9,0,3,3,5
%N A198918 Decimal expansion of x>0 satisfying 3*x^2+cos(x) = 4.
%C A198918 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198918 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198918 1.0852510131397580205120939483276057918898...
%t A198918 a = 3; b = 1; c = 4;
%t A198918 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198918 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198918 r = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]
%t A198918 RealDigits[r]  (* A198918 *)
%Y A198918 Cf. A198755.
%K A198918 nonn,cons
%O A198918 1,3
%A A198918 _Clark Kimberling_, Oct 31 2011