login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A034745 Dirichlet convolution of Fibonacci numbers with 3^(n-1). 0
1, 4, 11, 33, 86, 266, 742, 2244, 6613, 19834, 59138, 177639, 531674, 1595468, 4783786, 14352225, 43048318, 129149968, 387424670, 1162288458, 3486796922, 10460430230, 31381088266, 94143408282, 282429611911, 847289262976 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
G.f.: Sum_{k>=1} 3^(k-1) * x^k/(1 - x^k - x^(2*k)). - Ilya Gutkovskiy, Jul 24 2019
a(n) ~ 3^(n-1). - Vaclav Kotesovec, Sep 11 2019
MATHEMATICA
Table[Sum[Fibonacci[n/d]*3^(d - 1), {d, Divisors[n]}], {n, 1, 25}] (* Vaclav Kotesovec, Sep 10 2019 *)
CROSSREFS
Sequence in context: A149233 A273038 A179905 * A217860 A307073 A143787
KEYWORD
nonn
AUTHOR
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 13 04:46 EDT 2024. Contains 374267 sequences. (Running on oeis4.)