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A273473 The successive numbers of digits between two "6"s in the sequence are given by the sequence itself. 0

%I #5 May 23 2016 22:06:20

%S 0,1,2,3,4,5,6,60,61,7,62,8,9,63,10,16,11,12,26,13,14,15,64,17,18,19,

%T 20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,

%U 45,47,48,36,49,50,51,52,53,54,55,57,58,59,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,87,88,89,90,91,46,92,93,94,56,95,97,98,99,100,101,102,103,104,105,107,108,109,110,111,112,113,114,115,117,118,119,65,120,121,76,122,123,124,67,125,127,128,129,130,131,132,133,134,135,137,138,139,140,141,142,143,144,145,147,106,148,149,150,86,151,152,153,154,155,96,157,158,159,116,170,171,172,173,68,174,175

%N The successive numbers of digits between two "6"s in the sequence are given by the sequence itself.

%C This is the lexicographically first such sequence, starting with a(1)=0, that was always extended with the smallest integer not already present in the sequence and not leading to a contradiction.

%e There are 0 digits between the first two "6" of the sequence [0,1,2,3,4,5,6,60]; then there is 1 digit between the next pair of "6": [60,61]; then there are 2 digits between the next pair of "6": [61,7,62]; then there are 3 digits between the next pair of "6": [62,8,9,63]; then there are 4 digits between the next pair of "6": [63,10,16]; then there are 5 digits between the next pair of "6": [16,11,12,26]; then there are 6 digits between the next pair of "6": [26,13,14,15,64]; then there are 60 digits between the next pair of "6": [64,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,36], etc. The quantities 0, 1, 2, 3, 4, 5, 6, 60,... rebuild the starting sequence.

%K nonn,base

%O 1,3

%A _Eric Angelini_ and _Lars Blomberg_, May 23 2016

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)