A200417 Decimal expansion of least x>0 satisfying 4*x^2+2*x+3=tan(x).

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

Offset

1,2

Comments

See A200338 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=1.5045065203188760058658481197660438054872266309790...

Mathematica

a = 4; b = 2; c = 3;
f[x_] := a*x^2 + b*x + 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, 1.5, 1.51}, WorkingPrecision -> 110]
RealDigits[r]  (* A200417 *)

Crossrefs

Cf. A200338.

Sequence in context: A159575 A092173 A292902 * A309723 A198839 A062521

Adjacent sequences: A200414 A200415 A200416 * A200418 A200419 A200420

Keyword

nonn,cons

Author

Clark Kimberling, Nov 18 2011

Status

approved