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 A196816 Decimal expansion of the least x>0 satisfying 1/(1+x^2)=cos(x). 7

%I

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

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

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

%N Decimal expansion of the least x>0 satisfying 1/(1+x^2)=cos(x).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/WitchofAgnesi.html">Witch of Agnesi</a>

%e x=1.10250582440641604357105015502222407388481058200...

%t Plot[{1/(1 + x^2), Cos[x], 2 Cos[x], 3 Cos[x], 4 Cos[x]}, {x, 0, 2}]

%t t = x /. FindRoot[1 == (1 + x^2) Cos[x], {x, 1, 1.5}, WorkingPrecision -> 100]

%t RealDigits[t]

%o (PARI) solve(x=1, 1.5, cos(x)*(1+x^2) - 1) \\ _Michel Marcus_, Feb 10 2015

%Y Cf. A196914, A196817, A196818, A196819, A196820, A196821.

%K nonn,cons

%O 1,4

%A _Clark Kimberling_, Oct 06 2011

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Last modified August 22 20:47 EDT 2019. Contains 326209 sequences. (Running on oeis4.)