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A194125 n such that a length-n CLHCA of maximal period exists. 1
2, 3, 4, 5, 6, 7, 9, 10, 11, 15, 17, 18, 20, 21, 22, 23, 25, 28, 29, 31, 33, 35, 36, 39, 41, 47, 49, 52, 55, 57, 58, 60, 63, 65, 68, 71, 73, 79, 81, 84, 87, 89, 93, 94, 95, 97, 98, 100, 103, 105, 106, 108, 111, 113, 118, 119, 121, 123, 124, 127, 129, 130, 132, 134, 135, 137, 142, 145, 148, 150, 151, 153, 159, 161, 167, 169, 170, 172, 174, 175, 177, 178, 183, 185, 191, 193, 194, 198, 199, 201 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
A CLHCA is a cyclic linear hybrid cellular automaton (defined on p.883 of the Fxtbook, see link below). For fixed n its period depends only on the weight of its rule vector. The polynomial corresponding to a weight-w length-n CLHCA is x^n+(1+x)^w (or its reciprocal polynomial 1+x^w*(1+x)^(n-w)).
Sequence starts as A073726 (and appears to be a subset), first terms missing in this one are 140, 212, 236 (and no more <= 400).
LINKS
Joerg Arndt, Matters Computational (The Fxtbook), section 41.9.1, pp. 883-885
Joerg Arndt, Complete list of primitive trinomials over GF(2) up to degree 400 [Cached copy, with permission]
CROSSREFS
Cf. A073726 (n such that a primitive trinomial over GF(2) exists).
Sequence in context: A179401 A117729 A073726 * A008839 A305925 A039226
KEYWORD
nonn
AUTHOR
Joerg Arndt, Aug 15 2011
STATUS
approved

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Last modified July 21 06:08 EDT 2024. Contains 374463 sequences. (Running on oeis4.)