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A198546 Decimal expansion of x>0 having 2*x^2-x=sin(x). 2

%I #5 Mar 30 2012 18:57:54

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

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

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

%N Decimal expansion of x>0 having 2*x^2-x=sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.9308567560394559552754058207009828452259971...

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

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

%t Plot[{f[x], g[x]}, {x, -.1, 1.1}]

%t r = x /. FindRoot[f[x] == g[x], {x, .93, .94}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198546 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 26 2011

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)