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Self-describing sequence: 1 even integer between two odd, then 2 even integers between two odd, then 3 even integers, then 4, then 6... The length of each run of even integers is given by the sequence itself (the smallest odd available integer is used when needed).
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%I #11 Jun 15 2021 11:05:30

%S 1,2,3,4,6,7,8,10,12,13,14,16,18,20,21,22,24,26,28,30,32,33,34,36,38,

%T 40,42,44,46,47,48,50,52,54,56,58,60,62,63,64,66,68,70,72,74,76,78,80,

%U 82,83,84,86,88,90,92,94,96,98,100,102,104,106,107,108,110,112,114,116,118

%N Self-describing sequence: 1 even integer between two odd, then 2 even integers between two odd, then 3 even integers, then 4, then 6... The length of each run of even integers is given by the sequence itself (the smallest odd available integer is used when needed).

%e Runs of even integers are between brackets:

%e 1,(2),3,(4,6),7,(8,10,12),13,(14,16,18,20),21,(22,24,26,28,30,32),33...

%e 1 even 2 even 3 even 4 even 6 even... etc. = the sequence itself

%K base,easy,nonn

%O 1,2

%A _Eric Angelini_ and _Alexandre Wajnberg_, Feb 03 2006