A367673 - OEIS

%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