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A200362 Decimal expansion of least x>0 satisfying 2*x^2+x+3=tan(x). 2
1, 4, 5, 6, 3, 3, 1, 7, 0, 8, 0, 7, 6, 4, 7, 2, 5, 7, 5, 3, 6, 8, 8, 1, 7, 2, 2, 2, 8, 7, 3, 1, 2, 7, 2, 6, 8, 5, 3, 0, 9, 6, 3, 8, 8, 0, 7, 4, 3, 2, 6, 4, 9, 5, 7, 4, 5, 2, 9, 8, 4, 1, 6, 2, 9, 3, 6, 6, 9, 3, 2, 1, 4, 6, 6, 9, 9, 1, 9, 4, 5, 4, 9, 2, 6, 4, 7, 7, 7, 9, 0, 1, 5, 0, 6, 6, 4, 4, 4 (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=1.456331708076472575368817222873127268530963880...

MATHEMATICA

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

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]   (* A200362 *)

CROSSREFS

Cf. A200338.

Sequence in context: A338688 A010665 A346832 * A309750 A096291 A201933

Adjacent sequences:  A200359 A200360 A200361 * A200363 A200364 A200365

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 17 2011

STATUS

approved

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Last modified May 22 22:13 EDT 2022. Contains 353959 sequences. (Running on oeis4.)