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A023514 a(n) = sum of exponents in prime-power factorization of prime(n) + 1.

%I A023514 #23 Jan 04 2016 20:30:24
%S A023514 1,2,2,3,3,2,3,3,4,3,5,2,3,3,5,4,4,2,3,5,2,5,4,4,3,3,4,5,3,3,7,4,3,4,
%T A023514 4,4,2,3,5,3,5,3,7,2,4,5,3,6,4,3,4,6,3,5,3,5,5,5,2,3,3,4,4,5,2,3,3,3,
%U A023514 4,4,3,6,5,3,4,8,4,2,3,3,5,2,7,3,5,4,5,2,4,5,5,7,4,4,5,6,4,4,3
%N A023514 a(n) = sum of exponents in prime-power factorization of prime(n) + 1.
%H A023514 Paolo P. Lava, <a href="/A023514/b023514.txt">Table of n, a(n) for n = 1..10000</a>
%F A023514 a(n) = A001222(A000040(n)+1). - _Zak Seidov_, Jan 04 2016
%p A023514 with(numtheory):
%p A023514 a:= n-> add(i[2], i=ifactors(ithprime(n)+1)[2]):
%p A023514 seq(a(n), n=1..100);
%t A023514 Array[Plus@@Last/@FactorInteger[Prime[ # ]+1]&,6! ] (* _Vladimir Joseph Stephan Orlovsky_, Feb 28 2010 *)
%o A023514 (PARI) a(n) = bigomega(prime(n)+1); \\ _Michel Marcus_, Jan 04 2016
%Y A023514 Cf. A210934.
%Y A023514 Cf. A000040, A001222.
%K A023514 nonn
%O A023514 1,2
%A A023514 _Clark Kimberling_