The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A302712

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A302712

Decimal expansion of 2*sin(Pi/96).
(history; published version)

#13 by Peter Luschny at Mon Jun 26 02:21:31 EDT 2023

STATUS

reviewed

approved

#12 by Michel Marcus at Mon Jun 26 02:09:49 EDT 2023

STATUS

proposed

reviewed

#11 by Amiram Eldar at Mon Jun 26 01:34:21 EDT 2023

STATUS

editing

proposed

#10 by Amiram Eldar at Mon Jun 26 01:26:39 EDT 2023

MATHEMATICA

RealDigits[2*Sin[Pi/96], 10, 120][[1]] (* Amiram Eldar, Jun 26 2023 *)

STATUS

approved

editing

#9 by Wolfdieter Lang at Wed May 02 13:21:56 EDT 2018

STATUS

editing

approved

#8 by Wolfdieter Lang at Wed May 02 13:21:01 EDT 2018

COMMENTS

This constant appears in a historic problem posed by Adriaan van Roomen (Adrianus Romanus) in his Ideae mathematicae from 1593, solved by Viète. See the Havil reference, problem 1, (with a correction), pp. 69-74.

For details see the comments under A302711, also for the original reference.

FORMULA

The constant is 2*sin(Pi/96) = sqrt(1/2)* - sqrt(2- + sqrt(2 + sqrt(2 + sqrt(3))))).

STATUS

approved

editing

Discussion

Wed May 02

13:21

Wolfdieter Lang: I corrected a mistake.

#7 by Michel Marcus at Sun Apr 29 09:17:50 EDT 2018

STATUS

reviewed

approved

#6 by Joerg Arndt at Sun Apr 29 09:02:44 EDT 2018

STATUS

proposed

reviewed

#5 by Wolfdieter Lang at Sun Apr 29 08:50:28 EDT 2018

STATUS

editing

proposed

#4 by Wolfdieter Lang at Sun Apr 29 08:50:23 EDT 2018

COMMENTS

For details see the comment comments under A302711.

EXAMPLE

2*sin(Pi/96) = 0.0654381656435522841273198526345762522299252545033923937561910654381656435522841273198526345762522299252545033923937561...

CROSSREFS

Cf. A302712A302711.