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A338006 Maximal size of a subset of {1..n} such that every pair of (not necessarily distinct) elements has a different product. 2

%I #19 Sep 09 2021 09:35:49

%S 1,2,3,3,4,5,6,6,7,7,8,8,9,9,10,10,11,11,12,13,13,13,14,14,15,15,15,

%T 16,17,17,18,18,19,19,19,19,20,20,20,21,22,23,24,24,24,24,25,25,25,25,

%U 26,26,27,27,28,28,29,29,30,30,31,31,31,31,31,31,32,32,33,33,34,34,35,35,36,36,36,36,37,37,37,37,38

%N Maximal size of a subset of {1..n} such that every pair of (not necessarily distinct) elements has a different product.

%H Fausto A. C. Cariboni, <a href="/A338006/a338006.txt">Sets of maximal size that yield a(n) for n = 3..51</a>, Oct 11 2020.

%F a(n) = max {k >= 1; A347498(k) <= n}. - _Pontus von Brömssen_, Sep 09 2021

%Y Cf. A325860, A347498.

%K nonn

%O 1,2

%A _Fausto A. C. Cariboni_, Oct 06 2020

%E a(52)-a(83) from _Bert Dobbelaere_, Oct 18 2020

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