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A354697 a(n) is the least integer that can be written in two or more ways as the product of the integers in two subsets of its A070824(a(n)) nontrivial divisors, each of size n and with empty intersection. 1
12, 120, 720, 10080, 110880, 1814400, 26611200, 518918400, 10378368000, 261534873600, 5928123801600, 168951528345600 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
COMMENTS
a(6) <= 110880 = 2*3*6*10*14*22 = 4*5*7*8*9*11.
LINKS
FORMULA
A070824(a(n)) >= 2*n.
EXAMPLE
a(2) = 12 = 2*6 = 3*4,
a(3) = 120 = 2*3*20 = 4*5*6,
a(4) = 720 = 2*4*9*10 = 3*5*6*8,
a(5) = 10080 = 2*3*6*10*28 = 4*5*7*8*9.
a(6) = 110880 = 2*3*6*10*14*22 = 4*5*7*8*9*11.
a(7) = 1814400 = 2*3*4*14*15*18*20 = 5*6*7*8*9*10*12.
CROSSREFS
Sequence in context: A188251 A093334 A001816 * A133386 A305624 A056320
KEYWORD
nonn,hard,more
AUTHOR
Hugo Pfoertner, Jun 03 2022
EXTENSIONS
a(6) confirmed by and a(7)-a(13) from David A. Corneth, Jun 04 2022
STATUS
approved

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Last modified March 2 14:21 EST 2024. Contains 370493 sequences. (Running on oeis4.)