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A367762
Numerator of the greatest probability that a particular free polyomino with n cells appears in the Eden growth model (see A367760).
6
1, 1, 2, 1, 2, 107, 70037, 813359, 1523168309, 1248684827, 26754412658849, 21916760758464961, 967387787846413936477, 271537923398149191011927
OFFSET
1,3
COMMENTS
a(n) is the numerator of the maximum of A367760/A367761 over the n-th row.
EXAMPLE
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.
_ _ _
_ _ | | | |_ | |_ _
_ | | | |_ | |_ | | | _|
|_| |_| |_ _| |_ _| |_ _| |_ _|
_ _ _
_ _ | |_ _ _ _| |_ | |_ _
| | | | | |_ | | | |
| |_ | | | | | _| | |
|_ _ _| |_ _| |_ _ _| |_ _| |_ _ _|
_ _ _ _ _ _ _ _ _ _
| |_ _| | | | | |
| | | |_ | |_ | |_
| | | _| | _| | |
|_ _ _| |_ _ _| |_ _ _| |_ _ _ _|
CROSSREFS
Cf. A367673, A367760, A367761, A367763 (denominators), A367766.
Sequence in context: A010249 A228005 A177438 * A002431 A259328 A202034
KEYWORD
nonn,frac,more
AUTHOR
STATUS
approved