The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A356805 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A356805

Decimal expansion of the unique positive real root of the equation x^x^(x - 1) = x + 1.
(history; published version)

#13 by Michael De Vlieger at Mon Sep 05 09:10:16 EDT 2022

STATUS

reviewed

approved

#12 by Joerg Arndt at Mon Sep 05 04:27:30 EDT 2022

STATUS

proposed

reviewed

#11 by Michel Marcus at Mon Sep 05 04:02:44 EDT 2022

STATUS

editing

proposed

#10 by Michel Marcus at Mon Sep 05 04:02:35 EDT 2022

COMMENTS

This constant arises from a well-known linear approximation for real height of the tetration x^^x (for x belonging to (1, 2)), where x^^x indicates the tetration of the real base x having the same heigth height (see Links - Wikipedia).

STATUS

approved

editing

Discussion

Mon Sep 05

04:02

Michel Marcus: typo

#9 by N. J. A. Sloane at Sun Sep 04 13:17:31 EDT 2022

STATUS

proposed

approved

#8 by Michel Marcus at Mon Aug 29 01:16:23 EDT 2022

STATUS

editing

proposed

Discussion

Mon Aug 29

01:17

Michel Marcus: please see discussions at A355420

16:06

Marco Ripà: @Michel, I cannot understand which comment I need to check in the A355420 discussion. Could you please help me being more specific? Thanks in advance!

Tue Aug 30

06:14

Marco Ripà: P.S. I've just seen the discussion of A355420. I clearly misstyped A007908 the first time and then performed another ctrl-C&ctrl-V error. Unfortunately, I cannot find a way to post a comment there, since the sequence is not pending, but thank you very much for having fixed that error (thanks to every OEIS moderator which has given his contribute on the A355420 discussion).

#7 by Michel Marcus at Mon Aug 29 01:16:19 EDT 2022

PROG

(PARI) solve(x=1, 2, x^x^(x - 1) - x - 1) \\ Michel Marcus, Aug 29 2022

STATUS

proposed

editing

#6 by Marco Ripà at Sun Aug 28 23:15:45 EDT 2022

STATUS

editing

proposed

Discussion

Sun Aug 28

23:44

Jon E. Schoenfield: You’re welcome! :-)

#5 by Marco Ripà at Sun Aug 28 23:15:38 EDT 2022

COMMENTS

This constant arises from a well-known linear approximation for real heights height of the tetration x^^x (for x belonging to (1, 2)), where x^^x indicates the tetration of the real base x having the same heigth (see Links - Wikipedia).

LINKS

Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetration#Real_heights">Tetration</a> (see in particular "Linear approximation for real heights").

STATUS

proposed

editing

Discussion

Sun Aug 28

23:15

Marco Ripà: Thank you!

#4 by Marco Ripà at Sun Aug 28 21:11:29 EDT 2022

STATUS

editing

proposed

Discussion

Sun Aug 28

21:57

Jon E. Schoenfield: Typo/misspelling: “heigth”.

21:58

Jon E. Schoenfield: Unmatched open quote in Wikipedia entry in Links.