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Self-describing sequence: 2 odd integers between two even, then 3 odd integers between two even, then 5 odd integers, then 6, then 7... The length of each run of odd integers is given by the sequence itself (the smallest even available integer is used when needed).
1

%I #11 Jun 15 2021 11:00:57

%S 2,3,5,6,7,9,11,12,13,15,17,19,21,22,23,25,27,29,31,33,34,35,37,39,41,

%T 43,45,47,48,49,51,53,55,57,59,61,63,65,66,67,69,71,73,75,77,79,81,83,

%U 85,87,88,89,91,93,95,97,99,101,103,105,107,109,111,112,113,115,117,119

%N Self-describing sequence: 2 odd integers between two even, then 3 odd integers between two even, then 5 odd integers, then 6, then 7... The length of each run of odd integers is given by the sequence itself (the smallest even available integer is used when needed).

%e Runs of odd integers are between brackets:

%e 2,(3,5),6,(7,9,11),12,(13,15,17,19,21),22,(23,25,27,29,31,33),34...

%e 2 odd 3 odd 5 odd 6 odd ... etc. = the sequence itself

%K base,easy,nonn

%O 2,1

%A _Eric Angelini_ and _Alexandre Wajnberg_, Feb 03 2006