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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.
6
1, 1, 1, 4, 97, 2495, 98576101, 790070277194753299070819, 1697817285476742288131092, 301424494727669492958807965129775458632594691220000993251280413656197020195992465248816242330162
OFFSET
1,4
COMMENTS
a(n) is the numerator of the maximum of A368000/A368001 over the n-th row. See A368000 for details.
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).
_ _
_ _ | | _ _ | |_
_ | | | |_ | | | | | |
|_| |_| |_ _| |_| |_ _| |_ _|
_ _ _ _ _ _ _ _ _
| | _| | | |_ | |
| | | _| | | | |
|_ _| |_ _| |_ _ _| |_ _ _|
_ _ _ _ _ _ _ _ _
_| | | |_ | | _| |_
| | | | | | | |
| _| | | | | | _|
|_ _| |_ _ _| |_ _ _| |_ _ _|
CROSSREFS
Sequence in context: A356808 A041275 A024384 * A320358 A180830 A361883
KEYWORD
nonn,frac
AUTHOR
STATUS
approved