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A255201 Number of prime factors of n^2. 3

%I #15 Mar 11 2017 03:41:54

%S 0,2,2,4,2,4,2,6,4,4,2,6,2,4,4,8,2,6,2,6,4,4,2,8,4,4,6,6,2,6,2,10,4,4,

%T 4,8,2,4,4,8,2,6,2,6,6,4,2,10,4,6,4,6,2,8,4,8,4,4,2,8,2,4,6,12,4,6,2,

%U 6,4,6,2,10,2,4,6,6,4,6,2,10,8,4,2,8,4,4,4,8,2,8,4,6,4,4,4,12

%N Number of prime factors of n^2.

%C a(n) = 2 if n is prime.

%C All terms are even.

%C Record values are 2(m-1) for n = 2^m, m >= 0.

%H Indranil Ghosh, <a href="/A255201/b255201.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A001222(n^2) = A001222(A000290(n)) = 2*A001222(n).

%t Table[PrimeOmega[n^2], {n, 1000}] (* _Indranil Ghosh_, Mar 11 2017 *)

%o (PARI) a(n) = bigomega(n^2); \\ _Michel Marcus_, Feb 17 2015

%Y Cf. A000290, A001222.

%K nonn

%O 1,2

%A _Zak Seidov_, Feb 17 2015

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Last modified August 30 09:28 EDT 2024. Contains 375532 sequences. (Running on oeis4.)