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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. 3
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, 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, 285, 1, 2, 5, 7, 15, 25, 30, 50, 200, 240, 1, 14, 21, 189, 315, 630 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Frequency of occurrence for the first 73 terms (semi-colons 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.

LINKS

Table of n, a(n) for n=1..73.

EXAMPLE

Triangle begins:

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

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  285

1    2    5    7   15   25   30   50  200  240

1   14   21  189  315  630

CROSSREFS

Cf. A332718 (row lengths), A204371 (final terms for each row).

Sequence in context: A165889 A087127 A144946 * A260374 A157109 A185814

Adjacent sequences:  A332714 A332715 A332716 * A332718 A332719 A332720

KEYWORD

nonn,tabf,hard,more

AUTHOR

Hans Havermann, Jun 08 2020

STATUS

approved

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Last modified June 21 10:09 EDT 2021. Contains 345360 sequences. (Running on oeis4.)