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Revision History for A010482 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Decimal expansion of square root of 27.
(history; published version)
#53 by Charles R Greathouse IV at Mon Aug 21 11:26:21 EDT 2023
STATUS

editing

approved

#52 by Charles R Greathouse IV at Mon Aug 21 11:25:56 EDT 2023
LINKS

<a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

EXAMPLE

5.196152422706631880582339024517617100828415761431141884167420938355799... - Harry J. Smith, Jun 04 2009

5.196152422706631880582339024517617100828415761431141884167420938355799....

PROG

(PARI) { default(realprecision, 20080); x=sqrt(27); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010482.txt", n, " ", d)); } \\ Harry J. Smith, Jun 04 2009

STATUS

approved

editing

#51 by R. J. Mathar at Fri Mar 24 06:50:11 EDT 2023
STATUS

editing

approved

#50 by R. J. Mathar at Fri Mar 24 06:50:05 EDT 2023
COMMENTS

The solution of x^sqrt(3)=sqrt(3)^x, see e.g. A360148. - R. J. Mathar, Mar 24 2023

STATUS

approved

editing

#49 by N. J. A. Sloane at Wed Oct 05 05:04:04 EDT 2022
STATUS

proposed

approved

#48 by Kevin Ryde at Sun Oct 02 19:16:45 EDT 2022
STATUS

editing

proposed

Discussion
Sun Oct 02
20:20
Christoph B. Kassir: Haha, yes, did find it a bit odd.
#47 by Kevin Ryde at Sun Oct 02 19:15:00 EDT 2022
COMMENTS

Continued fraction expansion is 5 followed by {5, 10} repeated (A040021). - Harry J. Smith, Jun 04 2009

CROSSREFS

Cf. A040021 (continued fraction). - _Harry J, A248254 (Egyptian fraction). Smith_, Jun 04 2009

Cf. A104956 (half), A002194 (sqrt(3)).

Cf. A104956 (sqrt(27)/2). - Christoph B. Kassir, Oct 02 2022

STATUS

proposed

editing

Discussion
Sun Oct 02
19:16
Kevin Ryde: Crossrefs are a free for all, as a rule :).
#46 by Christoph B. Kassir at Sun Oct 02 15:11:20 EDT 2022
STATUS

editing

proposed

#45 by Christoph B. Kassir at Sun Oct 02 15:10:44 EDT 2022
CROSSREFS

Cf. A104956 (sqrt(27)/2). - Christoph B. Kassir, Oct 02 2022

Discussion
Sun Oct 02
15:11
Christoph B. Kassir: As Michel mentioned, it's double that area.
#44 by Christoph B. Kassir at Sun Oct 02 15:08:57 EDT 2022
FORMULA

Equals 2 * A104956. - Christoph B. Kassir, Oct 02 2022

STATUS

proposed

editing