A200694 Decimal expansion of least x>0 satisfying 10-x^2=tan(x).

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

Offset

1,2

Comments

See A200614 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.44506912870532760574108447930362489984032586454844...

Mathematica

a = -1; c = 10;
f[x_] := a*x^2 + c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]   (* A200694 *)

Crossrefs

Cf. A200338.

Sequence in context: A111763 A159892 A255241 * A021696 A006581 A370717

Adjacent sequences: A200691 A200692 A200693 * A200695 A200696 A200697

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved