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A368390 Numerator of the greatest probability that a particular free polyomino with n cells appears in internal diffusion-limited aggregation on the square lattice.

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