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 A181700 Smallest positive integer that can be represented as the sum of n of its distinct divisors in the maximum number of ways, or a(n)=0 if no such number exists. 2
 1, 0, 6, 2520, 48348686786400, 10543141534556403817127800577537146514577188497111149855093902265479066128013109211427715400552367011213513440000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS A006585(n) gives the number of representations of a(n) as the sum of n of its distinct divisors. For n >= 4, a(n) appears to coincide with A357765(n). - Max Alekseyev, Oct 09 2022 LINKS Max Alekseyev, Table of n, a(n) for n = 1..7 FORMULA For n >= 3, a(n) = LCM of all denominators of Egyptian fractions enumerated by A006585(n). - Max Alekseyev, Oct 12 2022 EXAMPLE For n=4, a(4)=2520 has the six solutions: 60+360+840+1260, 105+315+840+1260, 126+504+630+1260, 140+280+840+1260, 168+252+840+1260, 210+420+630+1260. CROSSREFS Cf. A002966, A006585, A357765. Sequence in context: A069643 A264801 A067630 * A199147 A097871 A210004 Adjacent sequences: A181697 A181698 A181699 * A181701 A181702 A181703 KEYWORD nice,nonn AUTHOR William Rex Marshall, Nov 06 2010 EXTENSIONS Edited by Max Alekseyev, Oct 09 2022 STATUS approved

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Last modified June 16 19:52 EDT 2024. Contains 373432 sequences. (Running on oeis4.)