Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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