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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 Table of n, a(n) for n=1..90. Joerg Arndt, Matters Computational (The Fxtbook), section 41.9.1, pp. 883-885 Joerg Arndt, Rules for CLHCA with maximal period up to degree 400, Complete list of primitive trinomials over GF(2) up to degree 400. 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 Adjacent sequences: A194122 A194123 A194124 * A194126 A194127 A194128 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.)