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%I #5 Mar 30 2012 18:57:50
%S 4,5,5,0,5,2,6,3,6,7,9,4,1,5,1,9,9,2,0,4,5,3,9,7,9,6,5,1,4,2,0,4,0,6,
%T 6,9,8,7,1,8,1,4,3,7,0,7,3,0,3,9,9,0,3,9,0,9,8,4,7,9,4,4,1,2,2,6,4,4,
%U 4,3,8,2,4,4,2,6,3,8,2,6,9,5,9,2,0,9,2,1,5,3,4,5,9,4,5,0,9,2,1,7
%N Decimal expansion of the least x>0 satisfying 1=5x*sin(x).
%e x=0.45505263679415199204539796514204066987181437073039903...
%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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