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Repeat each prime in the sequence of natural numbers.
3

%I #6 Aug 12 2019 19:07:20

%S 1,2,2,3,3,4,5,5,6,7,7,8,9,10,11,11,12,13,13,14,15,16,17,17,18,19,19,

%T 20,21,22,23,23,24,25,26,27,28,29,29,30,31,31,32,33,34,35,36,37,37,38,

%U 39,40,41,41,42,43,43,44,45,46,47,47,48,49,50,51,52,53,53,54,55,56,57,58

%N Repeat each prime in the sequence of natural numbers.

%C a(n) = A112233(n) - A112232(n);

%C a(n + A000040(n) - 1) = A000040(n),

%C a(n + A000040(n)) = A000040(n),

%C a(n + A000040(n) + 1) = A000040(n) + 1.

%t Table[If[PrimeQ[n],{n,n},n],{n,70}]//Flatten (* _Harvey P. Dale_, Aug 12 2019 *)

%Y Cf. A109763.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Aug 29 2005