cp's OEIS Frontend

A199381 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=3.

%I A199381 #8 Feb 07 2025 19:53:52
%S A199381 1,0,2,9,1,2,4,9,2,1,9,6,6,9,0,6,9,8,6,1,7,1,3,5,9,2,3,7,7,8,9,1,1,6,
%T A199381 4,0,8,4,8,1,1,7,1,1,8,4,1,1,8,6,4,2,6,8,0,4,2,9,8,1,5,5,2,1,4,5,3,3,
%U A199381 8,7,2,1,8,6,1,3,6,2,0,6,4,7,3,3,0,4,8,4,2,2,9,1,5,4,8,2,8,3,0
%N A199381 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=3.
%C A199381 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199381 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199381 1.0291249219669069861713592377891164084811711841...
%t A199381 a = 2; b = 1; c = 3;
%t A199381 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199381 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199381 r = x /. FindRoot[f[x] == g[x], {x, 1.02, 1.03}, WorkingPrecision -> 110]
%t A199381 RealDigits[r]   (* A199381 *)
%Y A199381 Cf. A199370.
%K A199381 nonn,cons
%O A199381 1,3
%A A199381 _Clark Kimberling_, Nov 05 2011