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The successive block-sizes of digits "1" in the sequence are given by the sequence itself.
0

%I #6 Aug 03 2016 09:05:07

%S 1,2,3,4,5,6,7,8,9,11,20,21,110,22,23,24,25,26,27,28,29,30,31,111,32,

%T 33,34,35,36,37,38,39,40,41,1111,42,43,44,45,46,47,48,49,50,51,11111,

%U 52,53,54,55,56,57,58,59,60,61,111111,62,63,64,65,66,67,68,69,70,71,1111111,72,73,74,75,76,77,78,79,80,81,11111111,82,83,84,85,86,87,88,89,90

%N The successive block-sizes of digits "1" in the sequence are given by the sequence itself.

%C The sequence starts with a(1)=1 and was always extended with the smallest integer not yet used that does not lead to a contradiction.

%e The blocks of digits "1" are indicated here by parentheses; the successive block-sizes are 1, 2, 3, 4,... which reproduces the sequence itself:

%e (1),2,3,4,5,6,7,8,9,(11),20,2(1,11)0,22,23,24,25,26,27,28,29,30,3(1,111),32,33,...

%K nonn,base

%O 1,2

%A _Eric Angelini_, Jul 31 2016

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