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A196755 Decimal expansion of the least x>0 satisfying 1=4x*sin(x).

%I A196755 #9 Feb 11 2025 13:33:50
%S A196755 5,1,1,1,0,2,2,4,0,2,6,7,9,0,3,2,8,1,1,9,7,6,3,5,0,8,6,9,8,9,5,4,5,9,
%T A196755 4,7,7,0,9,7,3,4,2,5,7,3,8,5,6,6,8,5,0,9,8,6,8,8,4,8,0,4,0,8,8,8,8,0,
%U A196755 7,0,5,5,0,0,0,4,5,7,7,2,2,0,7,0,0,6,0,9,2,5,9,4,2,6,4,2,9,4,5,8,8,6,7
%N A196755 Decimal expansion of the least x>0 satisfying 1=4x*sin(x).
%H A196755 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A196755 0.51110224026790328119763508698954594770973...
%t A196755 Plot[{1/x, Sin[x], 2 Sin[x], 3*Sin[x], 4 Sin[x]}, {x, 0, 2 Pi}]
%t A196755 t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
%t A196755 RealDigits[t]  (* A133866 *)
%t A196755 t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
%t A196755 RealDigits[t]  (* A196624 *)
%t A196755 t = x /. FindRoot[1/x == 3 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
%t A196755 RealDigits[t]  (* A196754 *)
%t A196755 t = x /. FindRoot[1/x == 4 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
%t A196755 RealDigits[t]  (* A196755 *)
%t A196755 t = x /. FindRoot[1/x == 5 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
%t A196755 RealDigits[t]  (* A196756 *)
%t A196755 t = x /. FindRoot[1/x == 6 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
%t A196755 RealDigits[t]  (* A196757 *)
%Y A196755 Cf. A196758.
%K A196755 nonn,cons
%O A196755 0,1
%A A196755 _Clark Kimberling_, Oct 06 2011