A367761 a(n) is the denominator of the probability that the free polyomino with binary code A246521(n+1) appears in the Eden growth model on the square lattice, when n square cells have been added.

1, 1, 3, 3, 3, 6, 4, 6, 12, 5, 30, 30, 15, 60, 15, 30, 120, 60, 30, 40, 60, 450, 600, 90, 90, 600, 90, 900, 48, 600, 48, 1800, 90, 450, 90, 40, 48, 90, 1800, 80, 48, 180, 90, 48, 90, 80, 180, 180, 96, 40, 48, 180, 40, 480, 360, 360, 151200, 756000, 756000, 10080, 10080, 151200, 151200, 630, 10080

Offset

1,3

Comments

Can be read as an irregular triangle, whose n-th row contains A000105(n) terms, n >= 1.

Links

Table of n, a(n) for n=1..65.

Index entries for sequences related to polyominoes.

Formula

A367760(n)/a(n) = (A367764(n)/A367765(n))*A335573(n+1).

Example

As an irregular triangle:
  1;
  1;
  3,  3;
  3,  6,  4,  6, 12;
  5, 30, 30, 15, 60, 15, 30, 120, 60, 30, 40, 60;
  ...

Crossrefs

Cf. A000105, A246521, A335573, A367672, A367760 (numerators), A367763, A367764, A367765.

Sequence in context: A219915 A219217 A219686 * A112669 A098529 A133774

Adjacent sequences: A367758 A367759 A367760 * A367762 A367763 A367764

Keyword

nonn,frac,tabf

Author

Pontus von Brömssen, Dec 02 2023

Status

approved