A196757 Decimal expansion of the least x>0 satisfying 1=6x*sin(x).

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

Offset: 0

Author

Clark Kimberling, Oct 06 2011

Keywords

• nonn
• cons

Examples

			0.4141599332318729755137578963204421123096...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A196758.

Programs

Mathematica

Plot[{1/x, Sin[x], 2 Sin[x], 3*Sin[x], 4 Sin[x]}, {x, 0, 2 Pi}]
t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
RealDigits[t]  (* A133866 *)
t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
RealDigits[t]  (* A196624 *)
t = x /. FindRoot[1/x == 3 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
RealDigits[t]  (* A196754 *)
t = x /. FindRoot[1/x == 4 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
RealDigits[t]  (* A196755 *)
t = x /. FindRoot[1/x == 5 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
RealDigits[t]  (* A196756 *)
t = x /. FindRoot[1/x == 6 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
RealDigits[t]  (* A196757 *)