|
Search: id:A066769
|
|
|
| A066769 |
|
Sum_{d|n} d*fibonacci(n/d). |
|
+0
1
|
|
| 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; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
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]
|
|
REFERENCES
|
T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, pp. 29 ff.
|
|
FORMULA
|
Sum_{i>0} i*x^i/(1-x^i-x^(2*i)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 06 2003
|
|
CROSSREFS
|
Cf. A000045, A007435.
Sequence in context: A030365 A153710 A063038 this_sequence A088607 A162699 A141231
Adjacent sequences: A066766 A066767 A066768 this_sequence A066770 A066771 A066772
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 17 2002
|
|
|
Search completed in 0.002 seconds
|
