%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 _ | | | |_ | |_ | | | _|
%e |_| |_| |_ _| |_ _| |_ _| |_ _|
%e _ _ _
%e _ _ | |_ _ _ _| |_ | |_ _
%e | | | | | |_ | | | |
%e | |_ | | | | | _| | |
%e |_ _ _| |_ _| |_ _ _| |_ _| |_ _ _|
%e _ _ _ _ _ _ _ _ _ _
%e | |_ _| | | | | |
%e | | | |_ | |_ | |_
%e | | | _| | _| | |
%e |_ _ _| |_ _ _| |_ _ _| |_ _ _ _|
%Y Cf. A367673, A367760, A367761, A367763 (denominators), A367766.
%K nonn,frac,more
%O 1,3
%A _Pontus von Brömssen_, Dec 02 2023