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A255201
Number of prime factors of n^2.
3
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, 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, 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
OFFSET
1,2
COMMENTS
a(n) = 2 if n is prime.
All terms are even.
Record values are 2(m-1) for n = 2^m, m >= 0.
LINKS
FORMULA
a(n) = A001222(n^2) = A001222(A000290(n)) = 2*A001222(n).
MATHEMATICA
Table[PrimeOmega[n^2], {n, 1000}] (* Indranil Ghosh, Mar 11 2017 *)
PROG
(PARI) a(n) = bigomega(n^2); \\ Michel Marcus, Feb 17 2015
CROSSREFS
Sequence in context: A358216 A193432 A129089 * A169594 A294337 A322327
KEYWORD
nonn
AUTHOR
Zak Seidov, Feb 17 2015
STATUS
approved