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 A282164 a(n) is the minimal product of a positive integer sequence of length n with no duplicate substrings of length greater than 1. 5
 1, 1, 2, 2, 4, 6, 12, 24, 48, 120, 240, 720, 1440, 4320, 8640, 25920, 60480, 181440, 483840, 1451520, 3870720, 11612160, 34836480, 104509440, 348364800, 1045094400, 3483648000, 10450944000, 38320128000, 114960384000, 459841536000, 1379524608000, 5518098432000, 16554295296000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS a(n) = sqrt(A282165(n-1)) if A282165(n-1) is square. LINKS Peter Kagey, Table of n, a(n) for n = 1..100 EXAMPLE a(1) = 1 via [1]; a(2) = 1 via [1,1]; a(3) = 2 via [1,1,2]; a(4) = 2 via [1,1,2,1]; a(5) = 4 via [1,1,2,2,1]; a(6) = 6 via [1,1,2,1,3,1]; a(7) = 12 via [1,1,2,2,1,3,1]; a(8) = 24 via [1,1,2,1,3,1,4,1]; a(9) = 48 via [1,1,2,2,1,3,1,4,1]; a(10) = 120 via [1,1,2,1,3,1,4,1,5,1]. CROSSREFS Product analog of A259280. Sequence in context: A128209 A274935 A188538 * A268175 A363578 A209025 Adjacent sequences: A282161 A282162 A282163 * A282165 A282166 A282167 KEYWORD nonn AUTHOR Peter Kagey, Braxton Carrigan, Feb 07 2017 STATUS approved

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Last modified August 14 13:02 EDT 2024. Contains 375164 sequences. (Running on oeis4.)