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A056624
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Number of unitary square divisors of n.
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2
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1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 1, 1
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OFFSET
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1,4
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COMMENTS
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Unitary analogue of A046951.
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LINKS
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Table of n, a(n) for n=1..105.
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FORMULA
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a(n)=2^r, where r is the number of prime factors of the largest unitary square divisor of n.
Multiplicative with a(p^e) = 2^(1-(e mod 2)). - Vladeta Jovovic, Dec 13 2002
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EXAMPLE
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n=256, it has 5 square divisors of which only 2,{1,256} are unitary,3 divisors are not; n=124 has 2 (1 and 4) square divisors, both of them unitary a(124)=2. n=108 has 12 divisors,4 square divisors: {1,4,9,36} of which 1 and 4 are unitary, 9 and 36 are not.So a(108)=2. The largest ubutary square divisor of 108 is 4 with 1 prime divisor so a(108)=2^1=2.
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CROSSREFS
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A046952, A034444, A000188, A008833, A055229.
Sequence in context: A133912 A122934 A072170 * A193348 A093997 A157196
Adjacent sequences: A056621 A056622 A056623 * A056625 A056626 A056627
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KEYWORD
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nonn,mult,changed
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Aug 08 2000
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EXTENSIONS
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More terms from Vladeta Jovovic, Dec 13 2002
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STATUS
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approved
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