A367762 - OEIS

A367762

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

1, 1, 2, 1, 2, 107, 70037, 813359, 1523168309, 1248684827, 26754412658849, 21916760758464961, 967387787846413936477, 271537923398149191011927

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OFFSET

1,3

COMMENTS

a(n) is the numerator of the maximum of A367760/A367761 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 that have the maximum probabilities for their respective sizes. Except for n = 7, there is just one such polyomino.

_ _ _

_ _ | | | |_ | |_ _

_ | | | |_ | |_ | | | _|

|_| |_| |_ _| |_ _| |_ _| |_ _|

_ _ _

_ _ | |_ _ _ _| |_ | |_ _

| | | | | |_ | | | |

| |_ | | | | | _| | |

|_ _ _| |_ _| |_ _ _| |_ _| |_ _ _|

_ _ _ _ _ _ _ _ _ _

| |_ _| | | | | |

| | | |_ | |_ | |_

| | | _| | _| | |

|_ _ _| |_ _ _| |_ _ _| |_ _ _ _|

CROSSREFS

Cf. A367673, A367760, A367761, A367763 (denominators), A367766.

Sequence in context: A010249 A228005 A177438 * A002431 A259328 A202034

Adjacent sequences: A367759 A367760 A367761 * A367763 A367764 A367765

KEYWORD

nonn,frac,more

AUTHOR

Pontus von Brömssen, Dec 02 2023

STATUS

approved