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A330721 Lexicographically earliest sequence of positive terms such that for any n > 0 and k > 0, a(n+k^2) <> floor(k/a(n)). 2

%I #10 Jan 01 2020 11:23:48

%S 1,2,1,2,1,2,1,2,1,2,3,2,3,2,2,2,2,4,2,3,2,3,2,3,2,3,3,3,3,3,3,3,3,2,

%T 3,2,3,2,3,4,3,4,2,4,2,4,3,4,3,4,2,4,2,3,2,3,2,3,4,3,4,3,4,4,4,5,3,5,

%U 3,5,3,2,3,2,3,3,3,3,5,3,5,3,5,3,5,3,2

%N Lexicographically earliest sequence of positive terms such that for any n > 0 and k > 0, a(n+k^2) <> floor(k/a(n)).

%C This sequence is a variant of A330636.

%H Rémy Sigrist, <a href="/A330721/b330721.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A330721/a330721.png">Scatterplot of the ordinal transform of the first 1000000 terms</a>

%H Rémy Sigrist, <a href="/A330721/a330721.txt">C program for A330721</a>

%e The first terms, alongside the corresponding forbidden values, are:

%e n a(n) k=1 k=2 k=3

%e -- ---- --- --- ---

%e 1 1

%e 2 2 1

%e 3 1 0

%e 4 2 1

%e 5 1 0 2

%e 6 2 1 1

%e 7 1 0 2

%e 8 2 1 1

%e 9 1 0 2

%e 10 2 1 1 3

%e 11 3 0 2 1

%e 12 2 0 1 3

%o (C) See Links section.

%Y Cf. A330636.

%K nonn

%O 1,2

%A _Rémy Sigrist_, Dec 28 2019

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Last modified April 26 21:53 EDT 2024. Contains 372004 sequences. (Running on oeis4.)