A200353 Decimal expansion of least x > 0 satisfying x^2 + 3*x + 4 = tan(x).

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

Offset: 1

Author

Clark Kimberling, Nov 17 2011

Keywords

• nonn
• cons

Comments

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

Examples

			1.4768369420356295966002253324996856643...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 1; b = 3; c = 4;
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]   (* A200353 *)

PARI

solve(x=1, 3/2, x^2 + 3*x + 4 - tan(x)) \\ Michel Marcus, Aug 05 2018

Extensions

Terms a(90) onward corrected by G. C. Greubel, Aug 04 2018