cp's OEIS Frontend

A199156 Decimal expansion of x < 0 satisfying 3*x^2+2*sin(x) = 3.

%I A199156 #10 Feb 07 2025 16:44:05
%S A199156 1,2,8,0,1,1,7,0,2,7,8,2,3,5,9,2,9,0,0,0,4,5,6,8,9,8,4,5,5,5,8,5,5,4,
%T A199156 9,7,9,6,5,5,2,8,2,3,5,3,6,5,3,4,8,6,3,0,8,5,6,7,7,8,2,6,9,0,0,8,4,7,
%U A199156 4,8,3,3,1,9,7,1,7,6,9,0,6,9,7,1,8,5,9,5,0,8,4,8,2,6,2,9,7,7,4,8,9,7
%N A199156 Decimal expansion of x < 0 satisfying 3*x^2+2*sin(x) = 3.
%C A199156 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199156 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199156 negative: -1.280117027823592900045689845558554979655...
%e A199156 positive:  0.741456706769858920159460956349108949987...
%t A199156 a = 3; b = 2; c = 3;
%t A199156 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199156 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199156 r = x /. FindRoot[f[x] == g[x], {x, -1.29, -1.28}, WorkingPrecision -> 110]
%t A199156 RealDigits[r]  (* A199156 *)
%t A199156 r = x /. FindRoot[f[x] == g[x], {x, .74, .75}, WorkingPrecision -> 110]
%t A199156 RealDigits[r]  (* A199157 *)
%Y A199156 Cf. A198866.
%K A199156 nonn,cons
%O A199156 1,2
%A A199156 _Clark Kimberling_, Nov 03 2011
%E A199156 a(93) onwards corrected by _Georg Fischer_, Aug 01 2021