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%I #9 Dec 03 2023 09:12:25
%S 1,1,1,1,1,53,49541,813359,59243701,18007129909,26754412658849,
%T 922373240806979,42709276740325681463,5698447182281913432980459
%N Numerator of the greatest probability that a particular fixed polyomino with n cells appears in the Eden growth model (see A367760).
%C a(n) is the numerator of the maximum of A367764/A367765 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, 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).
%e _ _ _ _
%e _ _ | | _ _ | |_ | |
%e _ | | | |_ | | | | | | | |
%e |_| |_| |_ _| |_| |_ _| |_ _| |_ _|
%e _
%e _ _ _ _ _ _ _ _| |_
%e | |_ | |_ | | | |
%e | _| | | | | | |
%e |_ _| |_ _ _| |_ _ _| |_ _ _|
%e _ _ _ _ _ _ _ _ _ _
%e | |_ | | _| |_ | |_
%e | | | | | | | |
%e | | | | | _| | _|
%e |_ _ _| |_ _ _| |_ _ _| |_ _ _|
%Y Cf. A367677, A367760, A367762, A367764, A367765, A367767 (denominators).
%K nonn,frac,more
%O 1,6
%A _Pontus von Brömssen_, Dec 02 2023