A367677 Numerator of the greatest probability that a particular fixed polyomino with n cells appears in the version of the Eden growth model described in A367671.

1, 1, 1, 2, 23, 289, 254179, 777607, 22699340513, 480319839870583, 2390156990671551019, 263173875833094285221, 7370729029770126053601007351, 20600083403482483161475107845607517

Offset: 1

Author

Pontus von Brömssen, Nov 26 2023

Keywords

• nonn
• frac
• more

Comments

a(n) is the numerator of the maximum of A367675/A367676 over the n-th row.

Examples

			For 1 <= n <= 14, the following are all polyominoes, up to reflections and rotations, that have the maximum probabilities for their respective sizes. Except for n = 3, there is just one such polyomino (again, up to reflections and rotations).
             _                    _
        _   | |   _      _ _    _| |_
   _   | |  | |  | |_   |   |  |_   _|
  |_|  |_|  |_|  |_ _|  |_ _|    |_|
                                         _
   _ _    _ _        _ _      _ _ _    _| |_
  |   |  |   |_    _|   |_   |     |  |     |
  |   |  |    _|  |_     _|  |     |  |     |
  |_ _|  |_ _|      |_ _|    |_ _ _|  |_ _ _|
     _ _        _ _        _ _      _ _ _
   _|   |     _|   |_    _|   |_   |     |_
  |     |_   |       |  |       |  |       |
  |_     _|  |_     _|  |      _|  |      _|
    |_ _|      |_ _|    |_ _ _|    |_ _ _|
		

Links

• Index entries for sequences related to polyominoes.

Crossrefs

Cf. A367671, A367673, A367675, A367676, A367678 (denominators), A367766.