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Repeat each composite number in the sequence of natural numbers.
2

%I #4 Mar 30 2012 18:50:53

%S 1,2,3,4,4,5,6,6,7,8,8,9,9,10,10,11,12,12,13,14,14,15,15,16,16,17,18,

%T 18,19,20,20,21,21,22,22,23,24,24,25,25,26,26,27,27,28,28,29,30,30,31,

%U 32,32,33,33,34,34,35,35,36,36,37,38,38,39,39,40,40,41,42,42,43,44,44,45

%N Repeat each composite number in the sequence of natural numbers.

%C a(n) = A112233(n) - A112231(n);

%C a(n + A002808(n) - 1) = A002808(n),

%C a(n + A002808(n)) = A002808(n),

%C a(n + A002808(n) + 1) = A002808(n) + 1.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Aug 29 2005