A367672 - OEIS

%I #16 Dec 03 2023 11:34:40

%S 1,1,3,3,14,21,84,21,12,1008,126,21,315,5040,126,126,2016,1008,126,

%T 672,60,99792,4989600,1155,3780,9072,66,30240,3360,4536,554400,453600,

%U 60,45360,60,277200,498960,66,5184,9072,45360,189,13860,554400,4620,50400,1260,3465,73920,712800,554400,3465,12960,12600,453600,360

%N 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.

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

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

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

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

%e As an irregular triangle:

%e      1;

%e      1;

%e      3,   3;

%e     14,  21, 84,  21,   12;

%e   1008, 126, 21, 315, 5040, 126, 126, 2016, 1008, 126, 672, 60;

%e   ...

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

%K nonn,frac,tabf

%O 1,3

%A _Pontus von Brömssen_, Nov 26 2023