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%I #5 Dec 21 2023 15:41:48
%S 1,1,1,1,1,4,1,1,1,97,1,1,1,8,1,1,8,8,1,1,1,867,9565,1,1,2495,1,
%T 262781,389,9565,389,262781,1,867,1,597,389,1,631381,597,389,1,1,389,
%U 1,597,1,1,389,597,389,1,597,2501,412,1,2635,1706571966622,1706571966622,1117,1117
%N a(n) is the numerator of the probability that a particular one of the A335573(n+1) fixed polyominoes corresponding to the free polyomino with binary code A246521(n+1) appears as the image of a simple random walk on the square lattice.
%C In a simple random walk on the square lattice, draw a unit square around each visited point. a(n)/A368001(n) is the probability that, when the appropriate number of distinct points have been visited, the drawn squares form a particular one of the fixed polyominoes corresponding to the free polyomino with binary code A246521(n+1).
%C Can be read as an irregular triangle, whose n-th row contains A000105(n) terms, n >= 1.
%H <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.
%F a(n)/A368001(n) = (A367994(n)/A367995(n))/A335573(n+1).
%e As an irregular triangle:
%e 1;
%e 1;
%e 1, 1;
%e 1, 4, 1, 1, 1;
%e 97, 1, 1, 1, 8, 1, 1, 8, 8, 1, 1, 1;
%e ...
%Y Cf. A000105, A246521, A335573, A367675, A367764, A367994, A367995, A368001 (denominators), A368002, A368004.
%K nonn,frac,tabf
%O 1,6
%A _Pontus von Brömssen_, Dec 09 2023
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