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1 + sum of first n terms of A001221.
2

%I #12 Dec 24 2014 10:53:03

%S 1,2,3,4,5,7,8,9,10,12,13,15,16,18,20,21,22,24,25,27,29,31,32,34,35,

%T 37,38,40,41,44,45,46,48,50,52,54,55,57,59,61,62,65,66,68,70,72,73,75,

%U 76,78,80,82,83,85,87,89,91,93,94,97,98,100,102,103,105,108,109,111,113

%N 1 + sum of first n terms of A001221.

%H Michael De Vlieger, <a href="/A082186/b082186.txt">Table of n, a(n) for n = 1..2000</a>

%p with(numtheory): s := 1: for n from 1 to 150 do it := nops(ifactors(n)[2]): s := s+it: printf(`%d,`,s): od: # _James A. Sellers_, May 19 2003

%t a082186[n_] := Block[{t = Table[0, {n}], i},

%t For[i = 0, i < n, t[[i]] = 1 + Plus @@ PrimeNu /@ Range[i], i++]; t]; a082186[69] (* _Michael De Vlieger_, Dec 24 2014 *)

%Y Equals 1 + A013939.

%K nonn,easy

%O 1,2

%A _Jon Perry_, May 09 2003

%E More terms from _James A. Sellers_, May 19 2003