%I #7 Jun 24 2015 04:58:21
%S 2,4,6,7,8,9,10,12,13,14,15,16,18,20,21,23,24,25,26,27,28,30,32,37,38,
%T 39,40,42,44,45,46,48,53,54,55,56,57,58,60,62,63,64,67,68,69,70,72,74,
%U 75,76,77,78,80,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100,102
%N Self-describing sequence : 2 composite integers between two primes, then 4 composites, then 6, then 7, then 8, etc. The quantity of composites in each run is given by the sequence itself. (Sequence is strictly increasing and the smallest next available prime is used when needed).
%e Runs of composites between brackets:
%e 2,(4,6),7,(8,9,10,12),13,(14,15,16,18,20,21),23,(24,25,26,27,28,30,32)...
%e .^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^
%e .2 comp. 4 comp. 6 comp. 7 comp. (etc.) = the sequence itself
%o (PARI) {m=20;k=2;v=[k];for(j=1,m,count=0;while(count<v[j],if(!isprime(k),v=concat(v,k); count++);k++);k=nextprime(k);v=concat(v,k));for(n=1,#v,print1(v[n],","))} \\ _Klaus Brockhaus_
%K base,easy,nonn
%O 2,1
%A _Eric Angelini_, Feb 03 2006
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