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A199372 Decimal expansion of x>0 satisfying x^2+x*sin(x)=3.

%I A199372 #8 Feb 07 2025 16:44:05
%S A199372 1,3,1,4,6,3,4,1,7,1,9,8,5,6,7,8,9,4,9,0,3,3,6,4,1,2,8,2,5,8,7,7,6,6,
%T A199372 9,2,2,1,4,3,0,4,9,5,3,4,9,4,1,8,8,2,4,9,3,6,9,2,4,1,0,2,5,7,2,5,6,5,
%U A199372 9,9,6,9,1,5,4,7,0,9,3,7,1,3,2,9,1,9,7,5,0,1,1,2,7,8,7,8,8,7,2
%N A199372 Decimal expansion of x>0 satisfying x^2+x*sin(x)=3.
%C A199372 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199372 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199372 1.3146341719856789490336412825877669221430...
%t A199372 a = 1; b = 1; c = 3;
%t A199372 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199372 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199372 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t A199372 RealDigits[r]  (* A199372 *)
%Y A199372 Cf. A199370.
%K A199372 nonn,cons
%O A199372 1,2
%A A199372 _Clark Kimberling_, Nov 05 2011