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Search: id:A053819
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| A053819 |
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Sum_{k=1..n, gcd(n,k) = 1} k^3. |
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+0
2
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| 1, 1, 9, 28, 100, 126, 441, 496, 1053, 1100, 3025, 1800, 6084, 4410, 7200, 8128, 18496, 8910, 29241, 16400, 29106, 27830, 64009, 27936, 77500, 54756, 88209, 67032, 164836, 52200, 216225, 130816, 185130, 161840, 264600, 140616, 443556
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OFFSET
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1,3
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REFERENCES
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T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 48, problem 15, the function phi_3(n).
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FORMULA
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a(n) = n^2/4*(n*A000010(n)+ A023900(n)), n>1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 17 2002
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CROSSREFS
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Cf. A053818.
Sequence in context: A065959 A017669 A001158 this_sequence A085292 A073706 A042501
Adjacent sequences: A053816 A053817 A053818 this_sequence A053820 A053821 A053822
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2000
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