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.
%I A368004 #5 Dec 21 2023 15:44:30 %S A368004 1,1,1,4,97,2495,98576101,790070277194753299070819, %T A368004 1697817285476742288131092, %U A368004 301424494727669492958807965129775458632594691220000993251280413656197020195992465248816242330162 %N A368004 Numerator of the greatest probability that a particular fixed polyomino with n cells appears as the image of a simple random walk on the square lattice. %C A368004 a(n) is the numerator of the maximum of A368000/A368001 over the n-th row. See A368000 for details. %H A368004 Pontus von Brömssen, <a href="/A368004/b368004.txt">Table of n, a(n) for n = 1..13</a> %H A368004 <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>. %e A368004 For 1 <= n <= 13, 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 A368004 _ _ %e A368004 _ _ | | _ _ | |_ %e A368004 _ | | | |_ | | | | | | %e A368004 |_| |_| |_ _| |_| |_ _| |_ _| %e A368004 _ _ _ _ _ _ _ _ _ %e A368004 | | _| | | |_ | | %e A368004 | | | _| | | | | %e A368004 |_ _| |_ _| |_ _ _| |_ _ _| %e A368004 _ _ _ _ _ _ _ _ _ %e A368004 _| | | |_ | | _| |_ %e A368004 | | | | | | | | %e A368004 | _| | | | | | _| %e A368004 |_ _| |_ _ _| |_ _ _| |_ _ _| %Y A368004 Cf. A367677, A367766, A367998, A368000, A368001, A368002, A368005 (denominators). %K A368004 nonn,frac %O A368004 1,4 %A A368004 _Pontus von Brömssen_, Dec 21 2023