A367673 Numerator of the greatest probability that a particular free polyomino with n cells appears in the version of the Eden growth model described in A367671.

1, 1, 2, 5, 253, 2657, 1839533, 11611594193, 119221101341, 3152002318138937, 2390156990671551019, 391219943696485871537172611, 1374972518894998705708792681, 21138479762006403022428257137861

Offset: 1

Author

Pontus von Brömssen, Nov 26 2023

Keywords

• nonn
• frac
• more

Comments

a(n) is the numerator of the maximum of A367671/A367672 over the n-th row.

Examples

			For 1 <= n <= 14, the following are the unique polyominoes that have the maximum probabilities for their respective sizes:
                    _      _      _
        _    _     | |    | |_   | |_ _
   _   | |  | |_   | |_   |   |  |    _|
  |_|  |_|  |_ _|  |_ _|  |_ _|  |_ _|
                                      _ _
     _          _          _ _      _|   |_
   _| |_ _    _| |_ _    _|   |_   |      _|
  |_     _|  |      _|  |      _|  |_ _  |
    |_ _|    |_ _ _|    |_ _ _|        |_|
                           _          _
     _ _      _ _ _       | |_      _| |_
   _|   |_   |     |_    _|   |_   |     |_
  |      _|  |      _|  |       |  |       |
  |_    |    |_    |    |_     _|  |_     _|
    |_ _|      |_ _|      |_ _|      |_ _|
		

Links

• Index entries for sequences related to polyominoes.

Crossrefs

Cf. A367671, A367672, A367674 (denominators), A367677, A367762.