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A066769
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Sum_{d|n} d*fibonacci(n/d).
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0
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1, 3, 5, 9, 10, 21, 20, 39, 49, 80, 100, 195, 246, 424, 650, 1065, 1614, 2715, 4200, 6940, 11020, 17922, 28680, 46821, 75075, 121898, 196565, 318680, 514258, 833560, 1346300, 2180439, 3524900, 5706132, 9227600, 14936241, 24157854, 39096588
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Dirichlet convolution of f(n)=n with the Fibonacci numbers F(n)=A000045. See the Apostol reference for Dirichlet convolutions. [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Sep 09 2008]
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REFERENCES
| T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, pp. 29 ff.
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FORMULA
| Sum_{i>0} i*x^i/(1-x^i-x^(2*i)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 06 2003
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CROSSREFS
| Cf. A000045, A007435.
Sequence in context: A153710 A175468 A063038 * A088607 A162699 A173263
Adjacent sequences: A066766 A066767 A066768 * A066770 A066771 A066772
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 17 2002
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