A367766 Numerator of the greatest probability that a particular fixed polyomino with n cells appears in the Eden growth model (see A367760).

1, 1, 1, 1, 1, 53, 49541, 813359, 59243701, 18007129909, 26754412658849, 922373240806979, 42709276740325681463, 5698447182281913432980459

Offset

1,6

Comments

a(n) is the numerator of the maximum of A367764/A367765 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. A367677, A367760, A367762, A367764, A367765, A367767 (denominators).

Sequence in context: A268097 A169595 A183793 * A336440 A368298 A145332

Adjacent sequences: A367763 A367764 A367765 * A367767 A367768 A367769

Keyword

nonn,frac,more

Author

Pontus von Brömssen, Dec 02 2023

Status

approved