A196606 Decimal expansion of the least x>0 satisfying sec(x)=5x.

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

Offset: 0

Author

Clark Kimberling, Oct 04 2011

Keywords

• nonn
• cons

Examples

			0.2042453787045389017234590570552809773445731130635969...
		

Links

• Index entries for transcendental numbers.

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 *)