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A367677 Numerator of the greatest probability that a particular fixed polyomino with n cells appears in the version of the Eden growth model described in A367671. 6

%I #12 Dec 03 2023 11:34:27

%S 1,1,1,2,23,289,254179,777607,22699340513,480319839870583,

%T 2390156990671551019,263173875833094285221,

%U 7370729029770126053601007351,20600083403482483161475107845607517

%N Numerator of the greatest probability that a particular fixed 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 A367675/A367676 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. A367671, A367673, A367675, A367676, A367678 (denominators), A367766.

%K nonn,frac,more

%O 1,4

%A _Pontus von Brömssen_, Nov 26 2023

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Last modified September 18 10:16 EDT 2024. Contains 375999 sequences. (Running on oeis4.)