%I #10 Oct 25 2021 11:05:53
%S 1,1,2,2,1,3,2,2,3,1,4,2,2,3,1,5,2,3,3,2,4,3,2,4,3,3,4,2,5,1,7,2,4,3,
%T 3,4,2,5,1,7,2,4,3,3,4,2,5,1,7,2,5,1,7,2,5,3,3,4,4,3,3,4,4,3,3,4,4,5,
%U 2,7,1,9,2,5,3,3,5,2,7,1,10,2,7,1,11,2
%N Lexicographically earliest sequence of positive integers in which, for all positive k, there are exactly k contiguous pairs whose product is k, and a(k) * a(k+1) <> a(k+1) * a(k+2).
%C This sequence is a variant of A307720 where we don't allow consecutive equal products of contiguous pairs.
%H Rémy Sigrist, <a href="/A348485/b348485.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A348485/a348485.gp.txt">PARI program for A348485</a>
%e The first terms, alongside a(n)*a(n+1), are:
%e n a(n) a(n)*a(n+1)
%e -- ---- -----------
%e 1 1 1
%e 2 1 2
%e 3 2 4
%e 4 2 2
%e 5 1 3
%e 6 3 6
%e 7 2 4
%e 8 2 6
%e 9 3 3
%e 10 1 4
%e 11 4 8
%e 12 2 4
%e 13 2 6
%e 14 3 3
%e 15 1 5
%o (PARI) See Links section.
%Y Cf. A307720, A348486 (the products).
%K nonn
%O 1,3
%A _Rémy Sigrist_, Oct 21 2021