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Slowest increasing and self-describing sequence: first 2 digits are prime digits, followed by 3 composite digits, then 4 prime digits, then 6 composite digits, then 8 prime, then 2 composite, then 2 prime, etc.
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%I #2 Mar 31 2012 13:46:51

%S 2,3,4,6,8,22,23,44,46,48,52,53,55,57,64,72,84,222,444,452,524,644,

%T 722,723,844,852,2222,2244,4442,5444,6422,7444,8422,22444,44222,52224,

%U 64444

%N Slowest increasing and self-describing sequence: first 2 digits are prime digits, followed by 3 composite digits, then 4 prime digits, then 6 composite digits, then 8 prime, then 2 composite, then 2 prime, etc.

%C No 0's or 1's are allowed in the sequence. "Prime digits" are 2 3 5 7 and "composite" are 4 6 8 9.

%e 2 3 4 6 8 22 23 44 46 48 52 53 55 57 64 72 ...

%e ^ ^ - - - ^^ ^^ -- -- -- ^^ ^^ ^^ ^^ -- ^^

%e .2....3.....4.......6.........8.......2..2

%e pri..comp..pri.....comp......pri....com..pri

%K base,easy,nonn

%O 2,1

%A _Eric Angelini_, May 05 2005