The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A294651 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A294651

Least possible value for the highest denominator in the decomposition of unity as a sum of different unitary fractions the greatest of which is 1/n.
(history; published version)

#74 by Jon E. Schoenfield at Fri Jan 15 21:31:52 EST 2021

STATUS

editing

approved

#73 by Jon E. Schoenfield at Fri Jan 15 21:31:50 EST 2021

LINKS

Jon E. Schoenfield, <a href="/A294651/a294651_4.txt">All unitary decompositions (listed in lexicographic order) for n = 1..30</a>. (Decompositions up to n = 18 originally found by J. Múgica).)

STATUS

approved

editing

#72 by Sean A. Irvine at Fri Jul 03 18:30:35 EDT 2020

STATUS

proposed

approved

#71 by Javier Múgica at Sun May 31 05:35:32 EDT 2020

STATUS

editing

proposed

Discussion

Sun May 31

05:39

Michel Marcus: before ??? of course I meant after , like M < S

05:42

Javier Múgica: So keep #69. (You meant Múgica before (i.e. upper) Shoenfield, dind't you?).

05:49

Michel Marcus: yes Mugica before Schoefeld

Fri Jul 03

18:30

Sean A. Irvine: What a mess, Javier please read submission guidelines before making further submissions.

#70 by Javier Múgica at Sun May 31 05:32:59 EDT 2020

LINKS

Javier Múgica, Values of <a href="/A294651/a294651_5.txt">a(n)/n</a>.

Discussion

Sun May 31

05:35

Javier Múgica: I have reverted the order of the two remaining links since the decompositions are much more relevant for the sequence than the values a(n)/n. The latter are interesting because certain patterns can be observed, probably very difficult to prove.

05:36

Michel Marcus: yes but Schoenfield must come before Mugica : see 4th bullet of https://oeis.org/wiki/Style_Sheet#Links

#69 by Javier Múgica at Sun May 31 05:31:08 EDT 2020

LINKS

Javier Múgica, <a href="/A294651/a294651_2.txt">Unitary decompositions</a> providing the terms a(n) for each n<=17, plus a decomposition for n=18 showing that a(18) <= 100.

Jon E. Schoenfield, <a href="/A294651/a294651_4.txt">All unitary decompositions (listed in lexicographic order) for n = 1..30</a>. (Decompositions up to n = 18 originally found by J. Múgica).

#68 by Michel Marcus at Sun May 31 05:16:01 EDT 2020

LINKS

Javier Múgica, Values of <a href="/A294651/a294651_15.txt">a(n)/n</a>.

STATUS

proposed

editing

Discussion

Sun May 31

05:16

Michel Marcus: If I understood correctly, this is what you want; to check , click on #68, then click on the a(n)/n link file

05:25

Javier Múgica: Yes, that is what I wanted.

05:28

Javier Múgica: I've had a look at past editing of this sequence. Already Shoenfiled poposed merging the file a294651_2 with his. It seems it was kept in consideration for me. As I pointed, it has no interest given the a294651_4 by Shoenfiled, so I'll remove that link.

#67 by Javier Múgica at Sun May 31 04:59:22 EDT 2020

STATUS

editing

proposed

Discussion

Sun May 31

05:12

Michel Marcus: I don't understand : you uloaded a file with lines like "5 4.80" and then you removed it ??

05:13

Michel Marcus: the file with internam name a294651_5.txt :  is it the one that you want to be the replacement for a294651_1.txt ?

#66 by Javier Múgica at Sun May 31 04:56:57 EDT 2020

LINKS

Javier Múgica, <a href="/A294651/a294651_5.txt">TITLE FOR LINK</a>

Discussion

Sun May 31

04:58

Javier Múgica: I wanted to update the file a294651_1.txt in order to take into account the terms added by Shoenfield, (and remove the colons), but didn't succeed.

#65 by Javier Múgica at Sun May 31 04:56:01 EDT 2020

LINKS

Javier Múgica, <a href="/A294651/a294651_5.txt">TITLE FOR LINK</a>