cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A367998 Numerator of the greatest probability that a particular free polyomino with n cells appears as the image of a simple random walk on the square lattice.

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%I A367998 #7 Dec 21 2023 15:41:27
%S A367998 1,1,2,8,388,2495,13652575732976,1580140554389506598141638,
%T A367998 2303282945504494379369753334706333784257298061180917309,
%U A367998 1116351824215919296474220471583292515147278170740521646743561595082143234790184233409933250330039986837258312677349601942095851
%N A367998 Numerator of the greatest probability that a particular free polyomino with n cells appears as the image of a simple random walk on the square lattice.
%C A367998 a(n) is the numerator of the maximum of A367994/A367995 over the n-th row. See A367994 for details.
%H A367998 Pontus von Brömssen, <a href="/A367998/b367998.txt">Table of n, a(n) for n = 1..13</a>.
%H A367998 <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.
%e A367998 For 1 <= n <= 13, the following are all polyominoes that have the maximum probabilities for their respective sizes. Except for n = 7, there is just one such polyomino.
%e A367998                     _      _      _ _
%e A367998         _    _     | |    | |_   |   |
%e A367998    _   | |  | |_   | |_   |   |  |   |
%e A367998   |_|  |_|  |_ _|  |_ _|  |_ _|  |_ _|
%e A367998             _                 _ _
%e A367998    _ _     | |_    _ _      _|   |
%e A367998   |   |    |   |  |   |_   |    _|
%e A367998   |   |_   |   |  |     |  |   |
%e A367998   |_ _ _|  |_ _|  |_ _ _|  |_ _|
%e A367998    _ _      _ _        _ _        _ _ _
%e A367998   |   |    |   |_    _|   |_    _|     |
%e A367998   |   |_   |     |  |       |  |      _|
%e A367998   |     |  |     |  |    _ _|  |     |
%e A367998   |_ _ _|  |_ _ _|  |_ _|      |_ _ _|
%Y A367998 Cf. A367673, A367762, A367994, A367995, A367996, A367999 (denominators), A368004.
%K A367998 nonn,frac
%O A367998 1,3
%A A367998 _Pontus von Brömssen_, Dec 08 2023