A367762 Numerator of the greatest probability that a particular free polyomino with n cells appears in the Eden growth model (see A367760).

1, 1, 2, 1, 2, 107, 70037, 813359, 1523168309, 1248684827, 26754412658849, 21916760758464961, 967387787846413936477, 271537923398149191011927

Offset: 1

Author

Pontus von Brömssen, Dec 02 2023

Keywords

• nonn
• frac
• more

Comments

a(n) is the numerator of the maximum of A367760/A367761 over the n-th row.

Examples

			For 1 <= n <= 14, the following are all polyominoes that have the maximum probabilities for their respective sizes. Except for n = 7, there is just one such polyomino.
                    _      _      _
        _    _     | |    | |_   | |_ _
   _   | |  | |_   | |_   |   |  |    _|
  |_|  |_|  |_ _|  |_ _|  |_ _|  |_ _|
            _                 _      _
   _ _     | |_    _ _      _| |_   | |_ _
  |   |    |   |  |   |_   |     |  |     |
  |   |_   |   |  |     |  |    _|  |     |
  |_ _ _|  |_ _|  |_ _ _|  |_ _|    |_ _ _|
   _ _        _ _      _ _ _      _ _ _
  |   |_    _|   |    |     |    |     |
  |     |  |     |_   |     |_   |     |_
  |     |  |      _|  |      _|  |       |
  |_ _ _|  |_ _ _|    |_ _ _|    |_ _ _ _|
		

Links

• Index entries for sequences related to polyominoes.

Crossrefs

Cf. A367673, A367760, A367761, A367763 (denominators), A367766.