A367765 a(n) is the denominator of the probability that a particular one of the A335573(n+1) fixed polyominoes corresponding to the free polyomino with binary code A246521(n+1) appears in the Eden growth model on the square lattice (see A367760), when n square cells have been added.

1, 2, 6, 6, 24, 6, 16, 24, 24, 20, 120, 120, 120, 480, 120, 120, 480, 480, 120, 40, 120, 1800, 4800, 720, 720, 1200, 720, 7200, 384, 4800, 384, 7200, 720, 1800, 720, 320, 384, 720, 7200, 320, 384, 720, 720, 384, 720, 320, 720, 720, 384, 320, 384, 720, 320, 1920, 1440, 720

Offset

1,2

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..56.

Index entries for sequences related to polyominoes.

Formula

A367764(n)/a(n) = (A367760(n)/A367761(n))/A335573(n+1).

Example

As an irregular triangle:
   1;
   2;
   6,   6;
  24,   6,  16,  24,  24;
  20, 120, 120, 120, 480, 120, 120, 480, 480, 120, 40, 120;
  ...

Crossrefs

Cf. A000105, A246521, A335573, A367676, A367760, A367761, A367764 (numerators), A367767.

Sequence in context: A100634 A242527 A304680 * A325803 A130865 A327630

Adjacent sequences: A367762 A367763 A367764 * A367766 A367767 A367768

Keyword

nonn,frac,tabf

Author

Pontus von Brömssen, Dec 02 2023

Status

approved