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A196626 Decimal expansion of the least x>0 satisfying 1=x*cos(5*x). 4

%I #5 Mar 30 2012 18:57:50

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

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

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

%N Decimal expansion of the least x>0 satisfying 1=x*cos(5*x).

%e x=1.152561891218197606601460030599990...

%t Plot[{1/x, Cos[x], Cos[2 x], Cos[3 x], Cos[4 x]}, {x, 0, 2 Pi}]

%t t = x /. FindRoot[1/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]

%t RealDigits[t] (* A133868 *)

%t t = x /. FindRoot[1/x == Cos[2 x], {x, 2, 3}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196608 *)

%t t = x /. FindRoot[1/x == Cos[3 x], {x, 1, 2}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196602 *)

%t t = x /. FindRoot[1/x == Cos[4 x], {x, .9, 1.4}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196609 *)

%t t = x /. FindRoot[1/x == Cos[5 x], {x, .9, 1.2}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196626 *)

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 05 2011

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)