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%I A306229 #18 Feb 11 2019 20:56:45
%S A306229 2,1,4,3,6,5,8,7,10,9,13,14,11,12,16,15,18,17,20,19,22,21,24,23,26,25,
%T A306229 28,27,30,29,33,35,31,36,32,34,38,37,40,39,42,41,44,43,46,45,48,47,50,
%U A306229 49,53,54,51,52,56,55,58,57,60,59,62,61,64,63,67,68,65
%N A306229 Lexicographically earliest sequence of distinct positive terms such that for any n > 0, K(n) <> K(a(n)) (where K denotes the Kolakoski sequence A000002).
%C A306229 This sequence is a self-inverse permutation of the natural numbers.
%H A306229 Rémy Sigrist, Table of n, a(n) for n = 1..1000
%H A306229 Rémy Sigrist, PARI program for A306229
%H A306229 Index entries for sequences that are permutations of the natural numbers
%F A306229 a(A013947(n)) = A013948(n).
%F A306229 a(A013948(n)) = A013947(n).
%F A306229 o(n) = o(a(n)) where o corresponds to the ordinal transform of A000002.
%e A306229 The first terms of the sequence, alongside K and its ordinal transform, are:
%e A306229 n a(n) K(n) o(n)
%e A306229 -- ---- ---- ----
%e A306229 1 2 1 1
%e A306229 2 1 2 1
%e A306229 3 4 2 2
%e A306229 4 3 1 2
%e A306229 5 6 1 3
%e A306229 6 5 2 3
%e A306229 7 8 1 4
%e A306229 8 7 2 4
%e A306229 9 10 2 5
%e A306229 10 9 1 5
%e A306229 11 13 2 6
%e A306229 12 14 2 7
%e A306229 13 11 1 6
%e A306229 14 12 1 7
%e A306229 15 16 2 8
%e A306229 16 15 1 8
%e A306229 17 18 1 9
%e A306229 18 17 2 9
%e A306229 19 20 2 10
%e A306229 20 19 1 10
%o A306229 (PARI) See Links section.
%Y A306229 See A306230 for a similar sequence.
%Y A306229 Cf. A000002, A013947, A013948.
%K A306229 nonn
%O A306229 1,1
%A A306229 _Rémy Sigrist_, Jan 30 2019
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