cp's OEIS Frontend

A199374 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=2.

%I A199374 #8 Feb 07 2025 16:44:05
%S A199374 8,5,0,0,7,4,7,5,9,9,6,3,1,0,1,7,0,7,4,5,0,5,8,0,6,1,6,8,2,6,7,8,1,3,
%T A199374 9,4,1,9,9,6,6,9,7,0,2,3,0,0,2,6,2,7,3,2,3,7,6,5,4,3,7,7,7,1,4,3,0,3,
%U A199374 2,7,6,0,1,5,6,8,7,3,9,4,2,2,2,3,9,8,9,3,2,7,4,6,7,9,5,3,0,7,4
%N A199374 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=2.
%C A199374 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199374 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199374 0.8500747599631017074505806168267813941...
%t A199374 a = 1; b = 2; c = 2;
%t A199374 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199374 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199374 r = x /. FindRoot[f[x] == g[x], {x, .85, .86}, WorkingPrecision -> 110]
%t A199374 RealDigits[r]  (* A199374 *)
%Y A199374 Cf. A199370.
%K A199374 nonn,cons
%O A199374 0,1
%A A199374 _Clark Kimberling_, Nov 05 2011