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 A066769 Sum_{d|n} d*fibonacci(n/d). 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; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Dirichlet convolution of f(n)=n with the Fibonacci numbers F(n)=A000045. See the Apostol reference for Dirichlet convolutions. - Wolfdieter Lang, Sep 09 2008 REFERENCES T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, pp. 29 ff. LINKS Robert Israel, Table of n, a(n) for n = 1..4740 FORMULA G.f.: Sum_{i>0} i*x^i/(1-x^i-x^(2*i)). - Vladeta Jovovic, Oct 06 2003 MAPLE N:= 100: A:= Vector(N): for k from 1 to N do   f:= combinat:-fibonacci(k);   ds:= [\$1..floor(N/k)];   A[k*ds] := A[k*ds] + f*Vector(ds); od: convert(A, list); # Robert Israel, Feb 08 2016 CROSSREFS Cf. A000045, A007435. Sequence in context: A286065 A063038 A236309 * A270780 A088607 A162699 Adjacent sequences:  A066766 A066767 A066768 * A066770 A066771 A066772 KEYWORD easy,nonn AUTHOR Vladeta Jovovic, Jan 17 2002 STATUS approved

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