cp's OEIS Frontend

A198926 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=4.

%I A198926 #8 Feb 07 2025 19:47:55
%S A198926 1,2,0,5,1,9,8,1,8,1,7,7,5,4,6,5,2,5,7,6,8,6,1,0,3,9,7,5,4,9,5,2,8,2,
%T A198926 7,6,5,0,4,3,3,1,4,1,5,9,2,2,6,4,2,8,1,2,4,9,8,7,7,2,4,5,2,0,9,9,6,1,
%U A198926 1,6,4,4,4,5,0,5,4,7,3,6,0,3,5,7,4,7,0,7,5,5,3,0,2,7,7,1,8,1,9
%N A198926 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=4.
%C A198926 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198926 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198926 1.20519818177546525768610397549528276504331...
%t A198926 a = 3; b = -1; c = 4;
%t A198926 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198926 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198926 r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
%t A198926 RealDigits[r]  (* A198926 *)
%Y A198926 Cf. A198755.
%K A198926 nonn,cons
%O A198926 1,2
%A A198926 _Clark Kimberling_, Oct 31 2011