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A199393 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=1. 1

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

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

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

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

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

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

%e x=0.4111295215026004685742786471691841289309811...

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

%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, .41, .42}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199393 *)

%Y Cf. A199370.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011

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Last modified April 21 01:42 EDT 2024. Contains 371850 sequences. (Running on oeis4.)