A367672 a(n) is the denominator of the probability that the free polyomino with binary code A246521(n+1) appears in the version of the Eden growth model described in A367671 when n square cells have been added.

1, 1, 3, 3, 14, 21, 84, 21, 12, 1008, 126, 21, 315, 5040, 126, 126, 2016, 1008, 126, 672, 60, 99792, 4989600, 1155, 3780, 9072, 66, 30240, 3360, 4536, 554400, 453600, 60, 45360, 60, 277200, 498960, 66, 5184, 9072, 45360, 189, 13860, 554400, 4620, 50400, 1260, 3465, 73920, 712800, 554400, 3465, 12960, 12600, 453600, 360

Offset: 1

Author

Pontus von Brömssen, Nov 26 2023

Keywords

• nonn
• frac
• tabf

Comments

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

Terms on the n-th row are (2*n-1)-smooth.

Examples

			As an irregular triangle:
     1;
     1;
     3,   3;
    14,  21, 84,  21,   12;
  1008, 126, 21, 315, 5040, 126, 126, 2016, 1008, 126, 672, 60;
  ...
		

Links

• Index entries for sequences related to polyominoes.

Crossrefs

Cf. A000105, A246521, A335573, A367671 (numerators), A367674, A367675, A367676, A367761.

Formula

A367671(n)/a(n) = (A367675(n)/A367676(n))*A335573(n+1).