A196603 Decimal expansion of the least x>0 satisfying sec(x)=2x.

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

Offset: 0

Author

Clark Kimberling, Oct 04 2011

Keywords

• nonn
• cons

Examples

			0.61003128446417597537096307351341032...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A196610.

Programs

Mathematica

Plot[{1/x, Cos[x], 2 Cos[x], 3 Cos[x], 4 Cos[x]}, {x, 0, 2 Pi}]
t = x /. FindRoot[1/x == Cos[x], {x, .1, 5}, WorkingPrecision -> 100]
RealDigits[t]  (* A133868 *)
t = x /. FindRoot[1/x == 2 Cos[x], {x, .5, .7}, WorkingPrecision -> 100]
RealDigits[t]  (* A196603 *)
t = x /. FindRoot[1/x == 3 Cos[x], {x, .3, .4}, WorkingPrecision -> 100]
RealDigits[t]  (* A196604 *)
t = x /. FindRoot[1/x == 4 Cos[x], {x, .1, .3}, WorkingPrecision -> 100]
RealDigits[t]  (* A196605 *)
t = x /. FindRoot[1/x == 5 Cos[x], {x, .15, .23}, WorkingPrecision -> 100]
RealDigits[t]  (* A196606 *)
t = x /. FindRoot[1/x == 6 Cos[x], {x, .1, .2}, WorkingPrecision -> 100]
RealDigits[t]  (* A196607 *)