cp's OEIS Frontend

A198920 Decimal expansion of x>0 satisfying 3*x^2+2*cos(x)=4.

%I A198920 #8 Feb 07 2025 17:48:00
%S A198920 9,8,1,1,2,6,2,8,6,1,2,9,8,8,1,3,0,3,9,4,1,3,7,9,5,4,3,1,7,8,2,7,7,3,
%T A198920 1,0,6,2,2,6,8,7,1,6,2,7,1,7,8,0,4,4,2,6,3,3,5,4,2,8,3,6,0,4,5,5,9,0,
%U A198920 1,5,3,7,3,9,7,2,6,3,7,3,9,1,1,0,1,7,7,4,8,3,5,6,9,0,3,7,1,1,6
%N A198920 Decimal expansion of x>0 satisfying 3*x^2+2*cos(x)=4.
%C A198920 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198920 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198920 0.981126286129881303941379543178277310622...
%t A198920 a = 3; b = 2; c = 4;
%t A198920 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198920 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198920 r = x /. FindRoot[f[x] == g[x], {x, .98, .99}, WorkingPrecision -> 110]
%t A198920 RealDigits[r] (* A198920 *)
%Y A198920 Cf. A198755.
%K A198920 nonn,cons
%O A198920 0,1
%A A198920 _Clark Kimberling_, Oct 31 2011