A200388 Decimal expansion of least x>0 satisfying 3*x^2+x+2=tan(x).

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

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.

Index entries for transcendental numbers.

Example

1.470728630294460158298936865656508656380906821...

Mathematica

a = 3; 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]  (* A200388 *)

Prog

(PARI) solve(x=1.4, 1.5, 3*x^2+x+2-tan(x)) \\ Charles R Greathouse IV, Apr 09 2026

Crossrefs

Cf. A200338.

Sequence in context: A021072 A195791 A331790 * A200508 A020833 A197147

Adjacent sequences: A200385 A200386 A200387 * A200389 A200390 A200391

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved