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Revision History for A000125

(Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A000125 Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.
(history; published version)
#271 by Michael De Vlieger at Fri Mar 22 09:18:29 EDT 2024
STATUS

reviewed

approved

#270 by Joerg Arndt at Fri Mar 22 02:27:07 EDT 2024
STATUS

proposed

reviewed

#269 by Pontus von Brömssen at Sat Mar 16 17:20:17 EDT 2024
STATUS

editing

proposed

#268 by Pontus von Brömssen at Sat Mar 16 17:19:30 EDT 2024
COMMENTS

For n >= 2, a(n) is the number of distinct least squares regression lines fitted to n points (j,y_j), 1 <= j <= n, where each y_j is 0 or 1. The number of distinct lines with exactly k 1's among y_1, ..., y_n is A077028(n,k). The number of distinct slopes is A123596(n).). - _Pontus von Brömssen_, Mar 16 2024

STATUS

proposed

editing

Discussion
Sat Mar 16 17:20
Pontus von Brömssen: Sorry, I forgot.
#267 by Pontus von Brömssen at Sat Mar 16 11:37:06 EDT 2024
STATUS

editing

proposed

Discussion
Sat Mar 16 17:16
Andrew Howroyd: Your comment is unsigned.
#266 by Pontus von Brömssen at Sat Mar 16 11:32:18 EDT 2024
CROSSREFS

Cf. A000027, A047694, A134396, A152947, A283551.

Discussion
Sat Mar 16 11:37
Pontus von Brömssen: I'm not sure how to sort or group the xrefs, so I added the ones that are mentioned in this entry (but were not listed as xrefs) on a separate cf-line.
#265 by Pontus von Brömssen at Sat Mar 16 11:28:17 EDT 2024
COMMENTS

For n >= 2, a(n) is the number of distinct least squares regression lines fitted to n points (j,y_j), 1 <= j <= n, where each y_j is 0 or 1. The number of distinct lines with exactly k 1's among y_1, ..., y_n is A077028(n,k). The number of distinct slopes is A123596(n).

CROSSREFS

Cf. A000124, A003600, A005408, A016813, A086514, A058331, A002522, A161701-A161705, A000127, A161706 - -A161708, A080856, A161710-A161713, A161715, A006261, A063865, A051601, A077043, A002620, A123596.

STATUS

approved

editing

#264 by Amiram Eldar at Sat Jan 20 04:47:03 EST 2024
STATUS

reviewed

approved

#263 by Michel Marcus at Sat Jan 20 04:35:03 EST 2024
STATUS

proposed

reviewed

#262 by Stefano Spezia at Sat Jan 20 04:15:21 EST 2024
STATUS

editing

proposed

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Last modified September 12 01:49 EDT 2024. Contains 375842 sequences. (Running on oeis4.)