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

1,4

Comments

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

Links

Table of n, a(n) for n=1..14.

Index entries for sequences related to polyominoes.

Example

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).
             _                    _
        _   | |   _      _ _    _| |_
   _   | |  | |  | |_   |   |  |_   _|
  |_|  |_|  |_|  |_ _|  |_ _|    |_|
                                         _
   _ _    _ _        _ _      _ _ _    _| |_
  |   |  |   |_    _|   |_   |     |  |     |
  |   |  |    _|  |_     _|  |     |  |     |
  |_ _|  |_ _|      |_ _|    |_ _ _|  |_ _ _|
     _ _        _ _        _ _      _ _ _
   _|   |     _|   |_    _|   |_   |     |_
  |     |_   |       |  |       |  |       |
  |_     _|  |_     _|  |      _|  |      _|
    |_ _|      |_ _|    |_ _ _|    |_ _ _|

Crossrefs

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

Sequence in context: A176936 A126040 A354419 * A294161 A088641 A077203

Adjacent sequences: A367674 A367675 A367676 * A367678 A367679 A367680

Keyword

nonn,frac,more

Author

Pontus von Brömssen, Nov 26 2023

Status

approved