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Search: id:A065959
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| A065959 |
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n^3*Product_{distinct primes p dividing n} (1+1/p^3). |
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3
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| 1, 9, 28, 72, 126, 252, 344, 576, 756, 1134, 1332, 2016, 2198, 3096, 3528, 4608, 4914, 6804, 6860, 9072, 9632, 11988, 12168, 16128, 15750, 19782, 20412, 24768, 24390, 31752, 29792, 36864, 37296, 44226, 43344, 54432, 50654, 61740, 61544
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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F. A. Lewis and others, Problem 4002, Amer. Math. Monthly, Vol. 49, No. 9, Nov. 1942, pp. 618-619.
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FORMULA
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Multiplicative with a(p^e) = p^(3*e)+p^(3*e-3). - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 09 2001
a(n) = n^3*sum(d|n, mu(d)^2/d^3) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 07 2002
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PROGRAM
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(PARI) for(n=1, 100, print1(n^3*sumdiv(n, d, moebius(d)^2/d^3), ", "))
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CROSSREFS
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Cf. A000010, A001615, A007434, A065958.
Sequence in context: A034677 A009255 A062451 this_sequence A017669 A001158 A053819
Adjacent sequences: A065956 A065957 A065958 this_sequence A065960 A065961 A065962
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KEYWORD
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nonn,mult
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Dec 08 2001
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