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 A282170 a(n) is the minimal product of a positive integer sequence of length n with no duplicate substrings (forward or backward) of length greater than 1, and no self-adjacent terms. 1
 1, 2, 6, 6, 24, 48, 120, 240, 1440, 2880, 10080 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Examples:   [1,1] is invalid because 1 is self-adjacent.   [1,2,3,1,2] is invalid because the substring [1,2] appears twice.   [1,2,1] is invalid because because the substring [1,2] appears twice (once forward and once backward). LINKS EXAMPLE a(1)  = 1     via [1];   a(2)  = 2     via [1,2];   a(3)  = 6     via [1,2,3];   a(4)  = 6     via [1,2,3,1];   a(5)  = 24    via [1,2,3,1,4];   a(6)  = 48    via [1,2,3,1,4,2];   a(7)  = 120   via [1,2,3,1,4,5,1];   a(8)  = 240   via [1,2,3,1,4,2,5,1];   a(9)  = 1440  via [1,2,3,1,4,2,5,1,6];   a(10) = 2880  via [1,2,3,1,4,2,5,1,6,2];   a(11) = 10080 via [1,2,3,1,4,2,5,1,6,7,1]. CROSSREFS Cf. A282164, A282169. Cf. A282167 is the sum analog. Sequence in context: A242527 A304680 A130865 * A105725 A005226 A087310 Adjacent sequences:  A282167 A282168 A282169 * A282171 A282172 A282173 KEYWORD nonn,more AUTHOR Peter Kagey, Feb 07 2017 STATUS approved

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Last modified October 17 22:48 EDT 2018. Contains 316297 sequences. (Running on oeis4.)