A368393 - OEIS

%I #13 Jan 12 2024 15:00:54

%S 1,2,6,6,35,35,140,35,35,1232,1848,1848,1848,3696,1848,1848,3696,3696,

%T 1848,7,1848,7386288,3940584648,38038,38038,5073,38038,7217188,

%U 59034976,3940584648,59034976,7217188,38038,7386288,38038,22138116,59034976,38038,985146162,22138116,59034976,38038,38038,59034976,38038,22138116,38038,38038,59034976,22138116,59034976,38038,22138116,177104928,3689686,38038

%N 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 internal diffusion-limited aggregation on the square lattice.

%C See A368386 for details.

%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 A368392(n)/a(n) = (A368386(n)/A368387(n))/A335573(n+1).

%e As an irregular triangle:

%e      1;

%e      2;

%e      6,    6;

%e     35,   35,  140,   35,   35;

%e   1232, 1848, 1848, 1848, 3696, 1848, 1848, 3696, 3696, 1848, 7, 1848;

%e   ...

%Y Cf. A000105, A246521, A335573, A367676, A367765, A368001, A368386, A368387, A368392 (numerators), A368395, A368863 (external diffusion-limited aggregation).

%K nonn,frac,tabf

%O 1,2

%A _Pontus von Brömssen_, Dec 22 2023