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Numerator of the greatest probability that a particular free polyomino with n cells appears in the version of the Eden growth model described in A367671.
6

%I #12 Dec 03 2023 11:34:37

%S 1,1,2,5,253,2657,1839533,11611594193,119221101341,3152002318138937,

%T 2390156990671551019,391219943696485871537172611,

%U 1374972518894998705708792681,21138479762006403022428257137861

%N Numerator of the greatest probability that a particular free polyomino with n cells appears in the version of the Eden growth model described in A367671.

%C a(n) is the numerator of the maximum of A367671/A367672 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 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 |_ | |_ | |_ _| |_ _|

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

%Y Cf. A367671, A367672, A367674 (denominators), A367677, A367762.

%K nonn,frac,more

%O 1,3

%A _Pontus von Brömssen_, Nov 26 2023