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

Author

Pontus von Brömssen, Dec 02 2023

Keywords

• nonn
• frac
• tabf

Comments

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

Examples

			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;
  ...
		

Links

• Index entries for sequences related to polyominoes.

Crossrefs

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

Formula

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