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%I #7 Jun 02 2016 09:11:40
%S 0,1,3,2,5,4,6,8,7,10,12,9,14,16,18,20,22,11,24,26,28,30,13,32,34,36,
%T 38,40,42,15,44,46,48,50,52,54,56,58,17,60,62,64,66,68,70,72,19,74,76,
%U 78,80,82,84,86,88,90,92,21,94,96,98,100,102,104,106,108,110,112,114,116,23,118,120,122,124,126,128,130,132,134,25,136,138,140,142,144,146,148,150,152,154,156,158,160,162,27,164,166,168,170,172,174,176,178,180,182,184,186,188,190,192,194,29
%N The successive numbers of integers visible between two odd terms are given by the sequence itself.
%C The sequence starts with a(1)=0. It is then extended with the smallest integer not yet present and not leading to a contradiction. The sequence is a permutation of the integers >=0.
%e The first two odd terms that appear in the sequence are 1 and 3; between 1 and 3 there are 0 integers and this 0 corresponds to the starting 0 of the sequence.
%e The next odd term is 5 and between 3 and 5 there is 1 integer [which is 2] and this 1 corresponds to the next term of the sequence.
%e The next odd term is 7 and between 5 and 7 there are 3 integers [which are 4, 6 and 8] and this 3 corresponds to the next term of the sequence.
%e The next odd term is 9 and between 7 and 9 there are 2 integers [which are 10 and 12] and this 2 corresponds to the next term of the sequence.
%e The next odd term is 11 and between 9 and 11 there are 5 integers [which are 14, 16, 18, 20 and 22] and this 5 corresponds to the next term of the sequence. Etc.
%K nonn,base
%O 1,3
%A _Eric Angelini_, Jun 01 2016
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