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A100565
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Card{(x,y,z) : x<=y<=z, x|n, y|n, z|n, GCD(x,y)=1, GCD(x,z)=1, GCD(y,z)=1}.
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0
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1, 2, 2, 3, 2, 5, 2, 4, 3, 5, 2, 8, 2, 5, 5, 5, 2, 8, 2, 8, 5, 5, 2, 11, 3, 5, 4, 8, 2, 15, 2, 6, 5, 5, 5, 13, 2, 5, 5, 11, 2, 15, 2, 8, 8, 5, 2, 14, 3, 8, 5, 8, 2, 11, 5, 11, 5, 5, 2, 25, 2, 5, 8, 7, 5, 15, 2, 8, 5, 15, 2, 18, 2, 5, 8, 8, 5, 15, 2, 14, 5, 5, 2, 25, 5, 5, 5, 11, 2, 25, 5, 8, 5, 5, 5, 17
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Also Card{(x,y,z) : x<=y<=z and LCM(x,y)=n, LCM(x,z)=n, LCM(y,z)=n}.
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FORMULA
| a(n) = (tau(n^3)+3*tau(n)+2)/6.
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CROSSREFS
| Cf. A000005, A048785, A066620, A070919, A086222, A086165, A048691, A018892, A063647.
Sequence in context: A141822 A033099 A018892 * A010846 A073023 A173754
Adjacent sequences: A100562 A100563 A100564 * A100566 A100567 A100568
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 28 2004
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