cp's OEIS Frontend

A198922 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=1.

%I A198922 #11 Feb 07 2025 17:47:55
%S A198922 7,5,8,4,8,1,2,6,0,3,1,2,6,5,2,8,0,0,6,1,1,7,4,7,6,5,6,4,9,3,5,6,8,6,
%T A198922 3,6,5,8,2,3,7,2,7,5,7,7,0,9,7,3,2,9,7,9,6,6,8,5,5,9,4,5,1,9,3,8,1,2,
%U A198922 9,9,4,6,4,0,8,5,4,7,4,0,9,3,4,6,7,0,0,5,9,4,5,4,9,1,1,4,5,1,2
%N A198922 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=1.
%C A198922 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198922 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198922 0.758481260312652800611747656493568636582...
%t A198922 a = 3; b = -1; c = 1;
%t A198922 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198922 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198922 r = x /. FindRoot[f[x] == g[x], {x, .75, .76}, WorkingPrecision -> 110]
%t A198922 RealDigits[r]  (* A198922 *)
%Y A198922 Cf. A198755.
%K A198922 nonn,cons
%O A198922 0,1
%A A198922 _Clark Kimberling_, Oct 31 2011