A200413 Decimal expansion of least x > 0 satisfying 4*x^2+x+2 = tan(x).

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

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 = 1.490145827912320461437570278473086690721155358201851...

Mathematica

a = 4; b = 1; c = 2;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]   (* A200413 *)

Crossrefs

Cf. A200338.

Sequence in context: A069647 A011348 A198554 * A370293 A021208 A298813

Adjacent sequences: A200410 A200411 A200412 * A200414 A200415 A200416

Keyword

nonn,cons

Author

Clark Kimberling, Nov 18 2011

Status

approved