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A199388 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=2. 1

%I #5 Mar 30 2012 18:57:57

%S 7,1,4,5,5,4,7,9,9,6,0,8,4,7,7,0,3,9,1,2,2,3,9,8,5,6,4,7,7,0,8,2,5,9,

%T 8,4,8,5,7,5,9,8,7,4,4,8,9,5,1,3,0,5,0,9,4,8,9,7,4,0,9,6,9,5,1,4,8,1,

%U 0,8,3,3,4,8,3,1,3,5,9,7,9,9,8,9,5,1,3,1,2,7,8,0,0,9,6,2,5,0,3

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

%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.71455479960847703912239856477082598485759874...

%t a = 3; b = 1; c = 2;

%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c

%t Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .71, .72}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199388 *)

%Y Cf. A199370.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011

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Last modified June 12 14:10 EDT 2024. Contains 373331 sequences. (Running on oeis4.)