The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A367671 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A367671

a(n) is the numerator of the probability that the free polyomino with binary code A246521(n+1) appears in a version of the Eden growth model on the square lattice, when n square cells have been added.
(history; published version)

#19 by Joerg Arndt at Sun Dec 03 11:34:46 EST 2023

STATUS

reviewed

approved

#18 by Wesley Ivan Hurt at Sun Dec 03 10:22:38 EST 2023

STATUS

proposed

reviewed

#17 by Pontus von Brömssen at Sun Dec 03 10:02:24 EST 2023

STATUS

editing

proposed

#16 by Pontus von Brömssen at Sun Dec 03 09:55:40 EST 2023

COMMENTS

In the Eden growth model, there is a single initial unit square cell in the plane and more squares are added one at a time, selected randomly among those squares that share an edge with one of the already existing squares. In the version considered here, all such new squares have the same probability of being selected, whereas in Eden (1961) it appears that the probability is proportional to the number of already existing squares with which the new square shares an edge. See A367760 for the latter version.

CROSSREFS

Cf. A000105, A246521, A335573, A367672 (denominators), A367673, A367675, A367676, A367760.

STATUS

approved

editing

#15 by N. J. A. Sloane at Fri Dec 01 16:00:21 EST 2023

STATUS

proposed

approved

#14 by Pontus von Brömssen at Wed Nov 29 15:43:54 EST 2023

STATUS

editing

proposed

#13 by Pontus von Brömssen at Wed Nov 29 15:43:27 EST 2023

KEYWORD

nonn,frac,tabf,changed

STATUS

proposed

editing

Discussion

Wed Nov 29

15:43

Pontus von Brömssen: Yes, of course. Thanks!

#12 by Pontus von Brömssen at Wed Nov 29 12:55:59 EST 2023

STATUS

editing

proposed

Discussion

Wed Nov 29

14:21

Michel Marcus: keyword frac ?

#11 by Pontus von Brömssen at Wed Nov 29 12:45:36 EST 2023

CROSSREFS

Cf. A000105, A246521, A335573, A367672 (denominators), A367673, A367675, A367676.

#10 by Pontus von Brömssen at Wed Nov 29 12:44:47 EST 2023

NAME

a(n) is the numerator of the probability that the free polyomino with binary code A246521(n+1) appears in a version of the Eden growth model on the square lattice, when n square cells have been added.