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!)
A165752 a(n) = (8-5*4^n)/3. 2
1, -4, -24, -104, -424, -1704, -6824, -27304, -109224, -436904, -1747624, -6990504, -27962024, -111848104, -447392424, -1789569704, -7158278824, -28633115304, -114532461224, -458129844904, -1832519379624, -7330077518504 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = 4*a(n-1) - 8, a(0)=1.
a(n) = 5*a(n-1) - 4*a(n-2), a(0)=1, a(1)=-4, for n>1.
G.f.: (1-9x)/(1-5x+4x^2).
a(n) = Sum_{0<=k<=n} A112555(n,k)*(-5)^(n-k).
a(n) = (-4)*A020989(n-1).
E.g.f.: (1/3)*(8*exp(x) - 5*exp(4*x)). - G. C. Greubel, Apr 07 2016
MATHEMATICA
(8-5*4^Range[0, 30])/3 (* or *) LinearRecurrence[{5, -4}, {1, -4}, 30] (* Harvey P. Dale, Jan 10 2016 *)
PROG
(PARI) x='x+O('x^99); Vec((1-9*x)/(1-5*x+4*x^2)) \\ Altug Alkan, Apr 07 2016
CROSSREFS
Sequence in context: A355798 A368815 A006736 * A366603 A166036 A120908
KEYWORD
easy,sign
AUTHOR
Philippe Deléham, Sep 26 2009
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 March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)