A196615 Decimal expansion of the least x>0 satisfying 5*sec(x)=x.

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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Example

x=5.762809456090988033007300152999953356676...

Mathematica

Plot[{1/x, 2/x, 3/x, 4/x, Cos[x]}, {x, 0, 2 Pi}]
t = x /. FindRoot[1/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
RealDigits[t]  (* A133868 *)
t = x /. FindRoot[2/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
RealDigits[t]  (* A196612 *)
t = x /. FindRoot[3/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
RealDigits[t]  (* A196613 *)
t = x /. FindRoot[4/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
RealDigits[t]  (* A196614 *)
t = x /. FindRoot[5/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
RealDigits[t]    (* A196615 *)
t = x /. FindRoot[6/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
RealDigits[t]   (* A196616 *)

Crossrefs

Sequence in context: A144478 A059249 A175294 * A305200 A198730 A318733

Adjacent sequences: A196612 A196613 A196614 * A196616 A196617 A196618

Keyword

nonn,cons

Author

Clark Kimberling, Oct 05 2011

Status

approved