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

1,3

Comments

a(n) is the numerator of the maximum of A367671/A367672 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 the unique polyominoes that have the maximum probabilities for their respective sizes:
                    _      _      _
        _    _     | |    | |_   | |_ _
   _   | |  | |_   | |_   |   |  |    _|
  |_|  |_|  |_ _|  |_ _|  |_ _|  |_ _|
                                      _ _
     _          _          _ _      _|   |_
   _| |_ _    _| |_ _    _|   |_   |      _|
  |_     _|  |      _|  |      _|  |_ _  |
    |_ _|    |_ _ _|    |_ _ _|        |_|
                           _          _
     _ _      _ _ _       | |_      _| |_
   _|   |_   |     |_    _|   |_   |     |_
  |      _|  |      _|  |       |  |       |
  |_    |    |_    |    |_     _|  |_     _|
    |_ _|      |_ _|      |_ _|      |_ _|

Crossrefs

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

Sequence in context: A137068 A137066 A175977 * A121270 A085603 A309675

Adjacent sequences: A367670 A367671 A367672 * A367674 A367675 A367676

Keyword

nonn,frac,more

Author

Pontus von Brömssen, Nov 26 2023

Status

approved