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A303164 Lexicographically earliest sequence of distinct terms such that the successive quantities of digits between two successive 6s are given by the succession of the sequence's digits itself. 9

%I

%S 0,1,2,3,4,5,6,60,61,7,62,8,9,63,10,16,11,12,26,13,14,15,64,17,18,36,

%T 65,19,20,46,56,21,22,23,76,24,25,27,67,86,28,29,30,31,68,32,33,34,35,

%U 69,37,38,96,39,160,66,161,40,41,162,606,163,164,165,42,43,167,600,168,601,44,616,45,47,169

%N Lexicographically earliest sequence of distinct terms such that the successive quantities of digits between two successive 6s are given by the succession of the sequence's digits itself.

%C The sequence starts with a(1) = 0 and is always extended with the smallest integer not yet present that doesn't lead to a contradiction. This sequence is a permutation of the numbers >= 0.

%H Jean-Marc Falcoz, <a href="/A303164/b303164.txt">Table of n, a(n) for n = 1..1507</a>

%e There are:

%e 0 digit between the 6 of "6" and the 6 of "60";

%e 1 digit between the 6 of "60" and the 6 of "61";

%e 2 digits between the 6 of "61" and the 6 of "62";

%e 3 digits between the 6 of "62" and the 6 of "63";

%e 4 digits between the 6 of "63" and the 6 of "16";

%e 5 digits between the 6 of "16" and the 6 of "26";

%e 6 digits between the 6 of "26" and the 6 of "64";

%e 6 digits between the 6 of "64" and the 6 of "36";

%e 0 digit between the 6 of "36" and the 6 of "65";

%e 6 digits between the 6 of "65" and the 6 of "46";

%e 1 digit between the 6 of "46" and the 6 of "56";

%e etc.

%e We see that the first column here is the succession of the digits of the sequence, as well as the size of each chunk of digits between two successive 6s.

%Y Cf. A303151 for the same idea with 1s as chunk's separators, A303157 with 2s, A303158 with 3s, A302943 with 4s, A303163 with 5s, A303166 with 7s, A303167 with 8s and A303171 with 9s.

%K nonn,base

%O 1,3

%A _Eric Angelini_ and _Jean-Marc Falcoz_, Apr 19 2018

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Last modified July 19 08:12 EDT 2019. Contains 325155 sequences. (Running on oeis4.)