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 A078314 Total number of prime factors of n*rad(n)+1, where rad=A007947 (squarefree kernel). 6

%I

%S 1,1,2,2,2,1,3,1,3,1,2,1,3,1,2,2,3,1,2,2,3,2,3,2,4,1,2,2,2,2,3,2,3,2,

%T 2,2,3,3,2,1,3,2,4,3,4,2,4,2,4,2,2,3,3,3,3,2,5,2,2,1,2,2,3,2,2,1,3,3,

%U 2,3,2,1,4,1,2,4,3,2,2,3,3,3,4,1,2,2,3,2,3,2,3,3,4,1,2,1,3,1,4,3,2,2,3,2,3

%N Total number of prime factors of n*rad(n)+1, where rad=A007947 (squarefree kernel).

%C a(n)=A001222(A078310(n)).

%H Reinhard Zumkeller, <a href="/A078314/b078314.txt">Table of n, a(n) for n = 1..10000</a>

%o (PARI) a(n)=bigomega(n*vecprod(factor(n)[,1])+1) \\ _Charles R Greathouse IV_, Jul 09 2013

%o a078314 = a001222 . a078310 -- _Reinhard Zumkeller_, Jul 23 2013

%Y Cf. A078313, A078315.

%K nonn

%O 1,3

%A _Reinhard Zumkeller_, Nov 23 2002

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Last modified October 18 14:52 EDT 2019. Contains 328161 sequences. (Running on oeis4.)