cp's OEIS Frontend

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.

%I A367765 #6 Dec 03 2023 09:12:02
%S A367765 1,2,6,6,24,6,16,24,24,20,120,120,120,480,120,120,480,480,120,40,120,
%T A367765 1800,4800,720,720,1200,720,7200,384,4800,384,7200,720,1800,720,320,
%U A367765 384,720,7200,320,384,720,720,384,720,320,720,720,384,320,384,720,320,1920,1440,720
%N 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.
%C A367765 Can be read as an irregular triangle, whose n-th row contains A000105(n) terms, n >= 1.
%H A367765 <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.
%F A367765 A367764(n)/a(n) = (A367760(n)/A367761(n))/A335573(n+1).
%e A367765 As an irregular triangle:
%e A367765    1;
%e A367765    2;
%e A367765    6,   6;
%e A367765   24,   6,  16,  24,  24;
%e A367765   20, 120, 120, 120, 480, 120, 120, 480, 480, 120, 40, 120;
%e A367765   ...
%Y A367765 Cf. A000105, A246521, A335573, A367676, A367760, A367761, A367764 (numerators), A367767.
%K A367765 nonn,frac,tabf
%O A367765 1,2
%A A367765 _Pontus von Brömssen_, Dec 02 2023