cp's OEIS Frontend

A199389 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=3.

%I A199389 #8 Feb 07 2025 19:56:01
%S A199389 8,7,9,7,8,0,6,2,6,6,2,1,0,3,3,4,8,6,7,1,5,9,0,0,2,7,0,5,5,5,0,2,6,6,
%T A199389 9,9,6,2,3,7,9,2,8,8,5,5,9,9,9,1,1,9,2,4,8,0,8,0,5,6,6,2,1,7,2,3,9,3,
%U A199389 9,6,7,2,7,6,5,3,0,3,1,7,7,6,4,8,1,1,9,1,5,2,1,3,8,9,2,1,2,7,8
%N A199389 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=3.
%C A199389 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199389 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199389 0.8797806266210334867159002705550266996237...
%t A199389 a = 3; b = 1; c = 3;
%t A199389 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199389 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199389 r = x /. FindRoot[f[x] == g[x], {x, .87, .88}, WorkingPrecision -> 110]
%t A199389 RealDigits[r]   (* A199389 *)
%Y A199389 Cf. A199370.
%K A199389 nonn,cons
%O A199389 0,1
%A A199389 _Clark Kimberling_, Nov 06 2011