A196756 Decimal expansion of the least x>0 satisfying 1=5x*sin(x).

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, 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, 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

Offset

0,1

Links

Table of n, a(n) for n=0..99.

Example

x=0.45505263679415199204539796514204066987181437073039903...

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 *)

Crossrefs

Cf. A196758.

Sequence in context: A332709 A247858 A247860 * A103561 A309949 A198571

Adjacent sequences: A196753 A196754 A196755 * A196757 A196758 A196759

Keyword

nonn,cons

Author

Clark Kimberling, Oct 06 2011

Status

approved