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A200691 Decimal expansion of least x>0 satisfying 7-x^2=tan(x). 2
1, 3, 7, 7, 2, 8, 8, 1, 9, 6, 8, 0, 4, 0, 2, 9, 3, 6, 0, 2, 4, 2, 7, 6, 0, 4, 4, 1, 0, 7, 8, 4, 1, 3, 5, 2, 5, 5, 7, 4, 8, 6, 0, 9, 1, 9, 6, 7, 3, 0, 0, 1, 9, 9, 2, 2, 9, 0, 8, 9, 4, 5, 6, 9, 9, 7, 3, 7, 8, 5, 4, 4, 1, 3, 7, 3, 0, 4, 0, 8, 0, 6, 1, 8, 5, 6, 6, 9, 5, 3, 5, 2, 4, 6, 7, 3, 0, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A200614 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

x=1.377288196804029360242760441078413525574860...

MATHEMATICA

a = -1; c = 7;

f[x_] := a*x^2 + 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, 1.3, 1.4}, WorkingPrecision -> 110]

RealDigits[r]   (* A200691 *)

CROSSREFS

Cf. A200338.

Sequence in context: A131608 A131707 A016620 * A021269 A199277 A219313

Adjacent sequences:  A200688 A200689 A200690 * A200692 A200693 A200694

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 21 2011

STATUS

approved

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Last modified February 21 23:41 EST 2020. Contains 332113 sequences. (Running on oeis4.)