A367675 a(n) is the numerator 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, 1, 1, 1, 5, 2, 23, 1, 1, 253, 5, 1, 23, 713, 11, 5, 149, 157, 5, 23, 1, 3671, 286417, 2, 73, 289, 1, 2657, 103, 289, 15923, 19067, 1, 1661, 1, 10019, 16591, 1, 323, 193, 1661, 1, 169, 14603, 71, 853, 11, 23, 1037, 27151, 15923, 23, 529, 487, 14267, 1

Offset

1,5

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

a(n)/A367676(n) = (A367671(n)/A367672(n))/A335573(n+1).

Example

As an irregular triangle:
    1;
    1;
    1, 1;
    5, 2, 23,  1,   1;
  253, 5,  1, 23, 713, 11, 5, 149, 157, 5, 23, 1;
  ...

Crossrefs

Cf. A000105, A246521, A335573, A367671, A367672, A367676 (denominators), A367677, A367764.

Sequence in context: A074769 A036165 A246798 * A372063 A230416 A363585

Adjacent sequences: A367672 A367673 A367674 * A367676 A367677 A367678

Keyword

nonn,frac,tabf

Author

Pontus von Brömssen, Nov 26 2023

Status

approved