A222312 - OEIS

%I #10 Feb 14 2014 07:50:39

%S 0,2,3,5,5,7,7,10,10,11,11,14,13,15,16,19,17,20,19,22,22,23,23,27,26,

%T 27,29,30,29,32,31,36,34,35,36,39,37,39,40,43,41,44,43,46,47,47,47,52,

%U 50,52,52,54,53,57,56,59,58,59,59,63,61,63,65,69,66,68,67,70,70,72,71,76,73,75,77,78,78,80,79,84,84,83

%N a(n) = n + A001222(n) - 1.

%C a(n) = n + (number of prime factors counted with multiplicity) - 1.

%H Vincenzo Librandi, <a href="/A222312/b222312.txt">Table of n, a(n) for n = 1..1000</a>

%p with(numtheory); [seq(n+bigomega(n)-1,n=1..100)];

%t Table[n+PrimeOmega[n]-1,{n,90}] (* _Harvey P. Dale_, Feb 01 2014 *)

%Y Cf. A001222, A213980.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Feb 16 2013