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A196624 Decimal expansion of the least x>0 satisfying 1=2x*sin(x). 6

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

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

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

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

%N Decimal expansion of the least x>0 satisfying 1=2x*sin(x).

%e x=0.7408409550954906210109354099431301371986...

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

%t t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]

%t RealDigits[t] (* A133866 *)

%t t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196624 *)

%t t = x /. FindRoot[1/x == 3 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196754 *)

%t t = x /. FindRoot[1/x == 4 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196755 *)

%t t = x /. FindRoot[1/x == 5 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196756 *)

%t t = x /. FindRoot[1/x == 6 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196757 *)

%Y Cf. A196758

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 06 2011

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)