cp's OEIS Frontend

A199470 Decimal expansion of x>0 satisfying x^2-3*x*sin(x)=3*cos(x).

%I A199470 #9 Feb 08 2025 09:59:44
%S A199470 2,0,3,1,2,5,7,6,4,0,3,3,3,0,7,3,1,3,5,8,3,7,7,6,4,7,6,6,2,1,1,2,0,1,
%T A199470 5,1,8,8,0,5,1,4,2,6,5,7,7,0,3,0,6,3,6,3,9,4,9,0,3,8,0,2,4,6,0,1,8,2,
%U A199470 5,5,9,9,7,6,6,7,8,4,7,3,5,5,5,4,6,2,7,3,0,0,1,7,3,3,8,8,9,3,9
%N A199470 Decimal expansion of x>0 satisfying x^2-3*x*sin(x)=3*cos(x).
%C A199470 See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%H A199470 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199470 2.031257640333073135837764766211201518805142...
%t A199470 a = 1; b = -3; c = 3;
%t A199470 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199470 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199470 r = x /. FindRoot[f[x] == g[x], {x, 2.03, 2.04}, WorkingPrecision -> 110]
%t A199470 RealDigits[r]  (* A199470 *)
%Y A199470 Cf. A199429.
%K A199470 nonn,cons
%O A199470 1,1
%A A199470 _Clark Kimberling_, Nov 07 2011