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Revision History for A000105

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

Showing entries 1-10 | older changes
Number of free polyominoes (or square animals) with n cells.
(history; published version)
#245 by Andrey Zabolotskiy at Thu Mar 21 21:02:09 EDT 2024
STATUS

editing

approved

#244 by Andrey Zabolotskiy at Thu Mar 21 21:02:05 EDT 2024
LINKS

T. R. Parkin, L. J. Lander, and D. R. Parkin, <a href="/A000104/a000104.pdf">Polyomino Enumeration Results</a>, presented at SIAM Fall Meeting, 1967) , and accompanying letter from T. J. Lander (annotated scanned copy)

STATUS

approved

editing

#243 by Michel Marcus at Sun Jan 07 01:38:33 EST 2024
STATUS

reviewed

approved

#242 by Joerg Arndt at Sun Jan 07 01:01:39 EST 2024
STATUS

proposed

reviewed

#241 by Jon E. Schoenfield at Sat Jan 06 18:02:25 EST 2024
STATUS

editing

proposed

#240 by Jon E. Schoenfield at Sat Jan 06 18:01:45 EST 2024
COMMENTS

Conjecture: Almost all polyominoes are holey. In other words, A000104(n)/a(n) tends to 0 for increasing n. - John Mason, Dec 11 2021 (This is true, a consequence of Madras' s 1999 pattern theorem. - Johann Peters, Jan 06 2024)

STATUS

proposed

editing

Discussion
Sat Jan 06
18:02
Jon E. Schoenfield: (Spelling correction per the Style Sheet)
#239 by Andrew Howroyd at Sat Jan 06 15:12:28 EST 2024
STATUS

editing

proposed

#238 by Andrew Howroyd at Sat Jan 06 15:11:36 EST 2024
COMMENTS

Conjecture: Almost all polyominoes are holey. In other words, A000104(n)/a(n) tends to 0 for increasing n. - John Mason, Dec 11 2021 (This is true, a consequence of Madras' 1999 pattern theorem. _- _Johann Peters_, Jan 06 2024)

REFERENCES

N. Madras, A pattern theorem for lattice clusters, in Vol. 3 of Annals of Combinatorics, 1999 pp. 357-384.

STATUS

proposed

editing

Discussion
Sat Jan 06
15:12
Andrew Howroyd: The Madras link is already in the Links section - no need to add twice (removed); Signature format corrected.
#237 by Johann Peters at Sat Jan 06 14:56:23 EST 2024
STATUS

editing

proposed

#236 by Johann Peters at Sat Jan 06 14:55:34 EST 2024
COMMENTS

Conjecture: Almost all polyominoes are holey. In other words, A000104(n)/a(n) tends to 0 for increasing n. - John Mason, Dec 11 2021 (This is true, a consequence of Madras' 1999 pattern theorem. _Johann Peters_, Jan 06 2024)

REFERENCES

N. Madras, A pattern theorem for lattice clusters, in Vol. 3 of Annals of Combinatorics, 1999 pp. 357-384.

STATUS

approved

editing