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Search: id:A050471
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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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+0
4
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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; listen)
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OFFSET
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0,2
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COMMENT
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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
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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
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Cf. A050469, A050470, A050468.
Sequence in context: A002413 A163121 A002901 this_sequence A088024 A051669 A027004
Adjacent sequences: A050468 A050469 A050470 this_sequence A050472 A050473 A050474
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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 23 1999
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