cp's OEIS Frontend

A198933 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=1.

%I A198933 #8 Feb 07 2025 17:52:26
%S A198933 9,5,4,6,0,2,7,1,9,1,5,4,7,3,6,2,1,4,3,9,9,6,8,0,8,2,2,6,2,5,4,8,6,4,
%T A198933 8,0,8,5,9,8,3,5,4,0,7,5,7,1,8,6,7,0,1,5,1,2,4,4,6,7,8,7,0,5,0,5,4,0,
%U A198933 3,8,4,8,3,7,2,8,9,4,1,7,9,6,0,9,3,4,0,5,7,2,8,9,0,1,3,1,6,0,3
%N A198933 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=1.
%C A198933 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198933 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198933 0.954602719154736214399680822625486480859...
%t A198933 a = 3; b = -3; c = 1;
%t A198933 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198933 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198933 r = x /. FindRoot[f[x] == g[x], {x, .95, .96}, WorkingPrecision -> 110]
%t A198933 RealDigits[r] (* A198933 *)
%Y A198933 Cf. A198755.
%K A198933 nonn,cons
%O A198933 0,1
%A A198933 _Clark Kimberling_, Nov 01 2011