A367676 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 version of the Eden growth model described in A367671 when n square cells have been added.

1, 2, 6, 6, 112, 21, 336, 21, 24, 8064, 504, 84, 2520, 40320, 1008, 504, 8064, 8064, 504, 672, 120, 399168, 39916800, 1155, 30240, 18144, 528, 241920, 26880, 36288, 4435200, 1814400, 480, 181440, 480, 2217600, 3991680, 528, 20736, 36288, 362880, 378, 110880, 4435200, 36960, 201600, 5040, 13860, 295680, 5702400, 4435200, 13860, 103680, 50400, 1814400, 720

Offset

1,2

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.

Links

Table of n, a(n) for n=1..56.

Index entries for sequences related to polyominoes.

Formula

A367675(n)/a(n) = (A367671(n)/A367672(n))/A335573(n+1).

Example

As an irregular triangle:
     1;
     2;
     6,   6;
   112,  21, 336,   21,    24;
  8064, 504,  84, 2520, 40320, 1008, 504, 8064, 8064, 504, 672, 120;
  ...

Crossrefs

Cf. A000105, A246521, A335573, A367671, A367672, A367675 (numerators), A367678, A367765.

Sequence in context: A097504 A356521 A189144 * A130726 A369119 A279841

Adjacent sequences: A367673 A367674 A367675 * A367677 A367678 A367679

Keyword

nonn,frac,tabf

Author

Pontus von Brömssen, Nov 26 2023

Status

approved