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Revision History for A197811 (Underlined text is an addition; strikethrough text is a deletion.)

Showing all changes.
A197811 Decimal expansion of x<0 having x^2+x=3*cos(x).
(history; published version)
#8 by Georg Fischer at Mon Aug 09 07:34:00 EDT 2021
STATUS

proposed

approved

#7 by Georg Fischer at Mon Aug 09 07:28:50 EDT 2021
STATUS

editing

proposed

Discussion
Mon Aug 09 07:33
Alois P. Heinz: ok
#6 by Georg Fischer at Mon Aug 09 07:26:43 EDT 2021
DATA

1, 3, 8, 9, 4, 3, 7, 4, 5, 2, 7, 0, 4, 8, 2, 8, 3, 8, 9, 2, 9, 1, 4, 9, 8, 2, 5, 1, 4, 2, 9, 1, 8, 9, 2, 5, 5, 9, 6, 3, 3, 7, 3, 5, 7, 5, 8, 4, 7, 5, 0, 8, 3, 7, 1, 4, 1, 5, 6, 7, 2, 2, 7, 2, 9, 3, 7, 0, 4, 8, 1, 2, 4, 4, 7, 1, 1, 8, 9, 3, 8, 8, 4, 3, 6, 2, 8, 7, 1, 0, 6, 3, 12, 16, 29, 34, 72, 72, 6

STATUS

approved

editing

Discussion
Mon Aug 09 07:28
Georg Fischer: Note: With Neil's consent I will silently change the next 54 similar cases. The precision used in the MMAs is too low - I recomputed the terms with Maple and jOEIS to 200 digits.
#5 by Russ Cox at Fri Mar 30 18:57:53 EDT 2012
AUTHOR

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

Discussion
Fri Mar 30 18:57
OEIS Server: https://oeis.org/edit/global/285
#4 by T. D. Noe at Thu Oct 20 20:37:41 EDT 2011
STATUS

proposed

approved

#3 by Clark Kimberling at Thu Oct 20 20:20:36 EDT 2011
STATUS

editing

proposed

#2 by Clark Kimberling at Thu Oct 20 19:34:36 EDT 2011
NAME

allocatedDecimal expansion of forx<0 Clarkhaving Kimberlingx^2+x=3*cos(x).

DATA

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

OFFSET

1,2

COMMENTS

See A197737 for a guide to related sequences. The Mathematica program includes a graph.

EXAMPLE

negative: -1.38943745270482838929149825142918925596337...

positive: 0.9297344303618125096887004946976108824038...

MATHEMATICA

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

f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]

Plot[{f[x], g[x]}, {x, -2, 1.5}]

r1 = x /. FindRoot[f[x] == g[x], {x, -1.4, -1.3}, WorkingPrecision -> 110]

RealDigits[r1] (* A197811 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .92, .93}, WorkingPrecision -> 110]

RealDigits[r2] (* A197812 *)

CROSSREFS

Cf. A197737.

KEYWORD

allocated

nonn,cons

AUTHOR

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

STATUS

approved

editing

#1 by Clark Kimberling at Tue Oct 18 11:25:01 EDT 2011
NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved

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Last modified August 29 06:09 EDT 2024. Contains 375510 sequences. (Running on oeis4.)