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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 A209025 A153955

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 October 15 12:26 EDT 2019. Contains 328026 sequences. (Running on oeis4.)