A367761 - OEIS

%I #5 Dec 03 2023 09:11:37

%S 1,1,3,3,3,6,4,6,12,5,30,30,15,60,15,30,120,60,30,40,60,450,600,90,90,

%T 600,90,900,48,600,48,1800,90,450,90,40,48,90,1800,80,48,180,90,48,90,

%U 80,180,180,96,40,48,180,40,480,360,360,151200,756000,756000,10080,10080,151200,151200,630,10080

%N a(n) is the denominator of the probability that the free polyomino with binary code A246521(n+1) appears in the Eden growth model on the square lattice, when n square cells have been added.

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

%H <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.

%F A367760(n)/a(n) = (A367764(n)/A367765(n))*A335573(n+1).

%e As an irregular triangle:

%e   1;

%e   1;

%e   3,  3;

%e   3,  6,  4,  6, 12;

%e   5, 30, 30, 15, 60, 15, 30, 120, 60, 30, 40, 60;

%e   ...

%Y Cf. A000105, A246521, A335573, A367672, A367760 (numerators), A367763, A367764, A367765.

%K nonn,frac,tabf

%O 1,3

%A _Pontus von Brömssen_, Dec 02 2023