A368004 - OEIS

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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.

1, 1, 1, 4, 97, 2495, 98576101, 790070277194753299070819, 1697817285476742288131092, 301424494727669492958807965129775458632594691220000993251280413656197020195992465248816242330162

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

a(n) is the numerator of the maximum of A368000/A368001 over the n-th row. See A368000 for details.

LINKS

Pontus von Brömssen, Table of n, a(n) for n = 1..13

Index entries for sequences related to polyominoes.

EXAMPLE

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).

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