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Numerator of the greatest probability that a particular free polyomino with n cells appears in the Eden growth model (see A367760).
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%I #5 Dec 03 2023 09:11:43

%S 1,1,2,1,2,107,70037,813359,1523168309,1248684827,26754412658849,

%T 21916760758464961,967387787846413936477,271537923398149191011927

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

%C a(n) is the numerator of the maximum of A367760/A367761 over the n-th row.

%H <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.

%e 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.

%e _ _ _

%e _ _ | | | |_ | |_ _

%e _ | | | |_ | |_ | | | _|

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%e _ _ _

%e _ _ | |_ _ _ _| |_ | |_ _

%e | | | | | |_ | | | |

%e | |_ | | | | | _| | |

%e |_ _ _| |_ _| |_ _ _| |_ _| |_ _ _|

%e _ _ _ _ _ _ _ _ _ _

%e | |_ _| | | | | |

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%e |_ _ _| |_ _ _| |_ _ _| |_ _ _ _|

%Y Cf. A367673, A367760, A367761, A367763 (denominators), A367766.

%K nonn,frac,more

%O 1,3

%A _Pontus von Brömssen_, Dec 02 2023