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A050471
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Sum_{d|n, n/d=1 mod 4} d^3 - Sum_{d|n, n/d=3 mod 4} d^3.
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3
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1, 8, 26, 64, 126, 208, 342, 512, 703, 1008, 1330, 1664, 2198, 2736, 3276, 4096, 4914, 5624, 6858, 8064, 8892, 10640, 12166, 13312, 15751, 17584, 18980, 21888, 24390, 26208, 29790, 32768, 34580, 39312, 43092, 44992, 50654, 54864, 57148
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Multiplicative because it is the Dirichlet convolution of A000578 = n^3 and A101455 = [1 0 -1 0 1 0 -1 ...], which are both multiplicative. Christian G. Bower (bowerc(AT)usa.net) May 17, 2005.
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FORMULA
| G.f.: Sum_{n>=1} n^3*x^n/(1+x^(2*n)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 16 2002
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CROSSREFS
| Cf. A050469, A050470, A050468.
Sequence in context: A002413 A163121 A002901 * A088024 A051669 A027004
Adjacent sequences: A050468 A050469 A050470 * A050472 A050473 A050474
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KEYWORD
| nonn,mult
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 23 1999
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EXTENSIONS
| Offset changed from 0 to 1 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 15 2010
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