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A053819
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Sum_{k=1..n, gcd(n,k) = 1} k^3.
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1
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 48, problem 15, the function phi_3(n).
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LINKS
| P. G. Brown, Some comments on inverse arithmetic functions, Math. Gaz. 89 (2005) 403-408.
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FORMULA
| 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
| Cf. A053818.
Sequence in context: A017669 A001158 A171215 * A085292 A198059 A181090
Adjacent sequences: A053816 A053817 A053818 * A053820 A053821 A053822
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2000
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