cp's OEIS Frontend

A332717 Triangle read by rows in which row n lists the possible eventual periods of cellular automaton rule 110 in a cyclic universe of width n.

%I A332717 #13 Jul 21 2023 23:31:46
%S A332717 1,1,1,1,2,1,1,9,1,14,1,2,8,16,1,3,7,1,5,15,25,1,7,110,1,2,9,18,1,351,
%T A332717 1,7,12,14,21,91,1,295,1,2,8,16,24,32,1,7,119,578,1,3,7,9,27,81,1,190,
%U A332717 285,1,2,5,7,15,25,30,50,200,240,1,14,21,189,315,630
%N A332717 Triangle read by rows in which row n lists the possible eventual periods of cellular automaton rule 110 in a cyclic universe of width n.
%C A332717 Frequency of occurrence for the first 73 terms (semicolons separate rows): 2; 4; 8; 4, 12; 32; 10, 54; 9, 119; 20, 12, 8, 216; 17, 18, 477; 134, 220, 130, 540; 35, 495, 1518; 34, 12, 3426, 624; 54, 8138; 67, 8442, 644, 371, 168, 6692; 113, 32655; 116, 12, 8, 680, 1920, 62800; 138, 93330, 15895, 21709; 181, 36, 2349, 57024, 198594, 3960; 249, 28481, 495558; 534, 12, 3040, 49700, 270, 3300, 614140, 30660, 342380, 4540; 414, 455, 42, 7938, 331590, 1756713. Note that the sum of the frequencies of row n is 2^n.
%e A332717 Triangle begins:
%e A332717   1
%e A332717   1
%e A332717   1
%e A332717   1    2
%e A332717   1
%e A332717   1    9
%e A332717   1   14
%e A332717   1    2    8   16
%e A332717   1    3    7
%e A332717   1    5   15   25
%e A332717   1    7  110
%e A332717   1    2    9   18
%e A332717   1  351
%e A332717   1    7   12   14   21   91
%e A332717   1  295
%e A332717   1    2    8   16   24   32
%e A332717   1    7  119  578
%e A332717   1    3    7    9   27   81
%e A332717   1  190  285
%e A332717   1    2    5    7   15   25   30   50  200  240
%e A332717   1   14   21  189  315  630
%Y A332717 Cf. A332718 (row lengths), A204371 (final terms for each row).
%K A332717 nonn,tabf,hard,more
%O A332717 1,5
%A A332717 _Hans Havermann_, Jun 08 2020