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A200589 Decimal expansion of least x>0 satisfying 3*x^2-2*x+1=tan(x). 2
1, 2, 8, 2, 1, 0, 9, 7, 8, 0, 7, 3, 9, 4, 6, 0, 8, 2, 4, 1, 2, 8, 6, 7, 3, 4, 2, 3, 6, 8, 2, 8, 3, 4, 8, 3, 0, 3, 3, 4, 0, 7, 6, 1, 7, 7, 2, 1, 5, 2, 5, 0, 1, 5, 2, 2, 8, 3, 2, 2, 9, 6, 4, 0, 5, 4, 0, 5, 9, 2, 2, 1, 1, 8, 5, 6, 7, 4, 8, 3, 9, 2, 2, 9, 2, 9, 6, 2, 9, 2, 1, 4, 9, 6, 8, 6, 1, 3, 5 (list; constant; graph; refs; listen; history; text; internal format)
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=1.282109780739460824128673423682834830334076177215...

MATHEMATICA

a = 3; b = -2; c = 1;

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, 1.2, 1.3}, WorkingPrecision -> 110]

RealDigits[r]    (* A200589 *)

CROSSREFS

Cf. A200338.

Sequence in context: A029672 A011309 A087198 * A194567 A065813 A076344

Adjacent sequences:  A200586 A200587 A200588 * A200590 A200591 A200592

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 19 2011

STATUS

approved

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Last modified June 20 10:13 EDT 2019. Contains 324234 sequences. (Running on oeis4.)