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%I #10 Jan 12 2024 15:01:43
%S 1,1,2,17,57,117209258,363356390591,
%T 292511604691740220504677006975130493521391,
%U 2806200956345391684353279299766025388803856326541039774177,8401384904285310565650785385525173372621364715976628525884130138767724737789789512541
%N Numerator of the greatest probability that a particular free polyomino with n cells appears in internal diffusion-limited aggregation on the square lattice.
%C a(n) is the numerator of the maximum of A368386/A368387 over the n-th row. See A368386 for details.
%H Pontus von Brömssen, <a href="/A368390/b368390.txt">Table of n, a(n) for n = 1..13</a>
%H <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.
%e For 1 <= n <= 13, the following are the unique polyominoes that have the maximum probabilities for their respective sizes:
%e _ _ _
%e _ _ | |_ | |_ _| |_
%e _ | | | |_ | _| | | |_ |
%e |_| |_| |_ _| |_| |_ _| |_ _|
%e _ _ _ _ _ _ _
%e _| |_ _ _| |_ _ _| |_ | |_
%e |_ _| | _| | _| | _|
%e |_ _| |_ _ _| |_ _ _| |_ _ _|
%e _
%e _ _ _ _| |_
%e _ _ _ | |_ | |_
%e | |_ | | | |
%e | | |_ _ _| |_ _ _|
%e |_ _ _ _| |_| |_|
%Y Cf. A367673, A367762, A367998, A368386, A368387, A368388, A368391 (denominators), A368394, A368662 (external diffusion-limited aggregation).
%K nonn,frac
%O 1,3
%A _Pontus von Brömssen_, Dec 22 2023