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%I #6 Mar 30 2012 18:57:50
%S 5,9,4,8,3,9,1,7,2,5,0,5,4,9,2,9,5,4,8,3,4,8,9,9,7,7,5,3,7,7,9,2,1,5,
%T 1,0,8,5,6,7,7,7,0,5,1,7,4,0,1,9,0,8,8,9,2,4,7,6,3,0,9,2,7,7,9,1,2,3,
%U 8,3,7,6,1,7,3,2,0,2,4,8,1,7,8,4,0,4,9,4,9,9,3,7,2,4,2,3,7,2,4,9
%N Decimal expansion of the least x>0 satisfying 1=3x*sin(x).
%e x=0.594839172505492954834899775377921510856777...
%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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