The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A200687

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A200687

Decimal expansion of least x>0 satisfying 3-x^2=tan(x).
(history; published version)

#5 by Russ Cox at Fri Mar 30 18:58:01 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Nov 20 2011

Discussion

Fri Mar 30

18:58

OEIS Server: https://oeis.org/edit/global/285

#4 by N. J. A. Sloane at Sun Nov 20 20:51:44 EST 2011

STATUS

proposed

approved

#3 by Clark Kimberling at Sun Nov 20 16:23:14 EST 2011

STATUS

editing

proposed

#2 by Clark Kimberling at Sun Nov 20 16:15:27 EST 2011

NAME

allocated for Clark KimberlingDecimal expansion of least x>0 satisfying 3-x^2=tan(x).

DATA

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

OFFSET

1,3

COMMENTS

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

EXAMPLE

x=1.074307619593589177196363634628687228637...

MATHEMATICA

a = -1; c = 3;

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, 1.0, 1.1}, WorkingPrecision -> 110]

RealDigits[r] (* A200687 *)

CROSSREFS

Cf. A200338.

KEYWORD

allocated

nonn,cons

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Nov 20 2011

STATUS

approved

editing

#1 by Clark Kimberling at Sun Nov 20 15:45:10 EST 2011

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved