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A367766
Numerator of the greatest probability that a particular fixed polyomino with n cells appears in the Eden growth model (see A367760).
6
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.
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
KEYWORD
nonn,frac,more
AUTHOR
STATUS
approved