A367766 - OEIS

A367766

Numerator of the greatest probability that a particular fixed polyomino with n cells appears in the Eden growth model (see A367760).

1, 1, 1, 1, 1, 53, 49541, 813359, 59243701, 18007129909, 26754412658849, 922373240806979, 42709276740325681463, 5698447182281913432980459

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OFFSET

1,6

COMMENTS

a(n) is the numerator of the maximum of A367764/A367765 over the n-th row.

LINKS

Table of n, a(n) for n=1..14.

Index entries for sequences related to polyominoes.

EXAMPLE

For 1 <= n <= 14, 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

Cf. A367677, A367760, A367762, A367764, A367765, A367767 (denominators).

Sequence in context: A268097 A169595 A183793 * A336440 A368298 A145332

Adjacent sequences: A367763 A367764 A367765 * A367767 A367768 A367769

KEYWORD

nonn,frac,more

AUTHOR

Pontus von Brömssen, Dec 02 2023

STATUS

approved