The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A182077 Number of independent sets of nodes in the generalized Petersen graph G(2n+1,2) (n>=1). 2
13, 76, 435, 2461, 13971, 79197, 449188, 2547179, 14445169, 81917079, 464547653, 2634418076, 14939621779, 84721638085, 480451043995, 2724607324221, 15451075136020, 87622065595371, 496899168779481, 2817883624638175, 15980039054921477, 90621786488479756 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
C. Bautista-Ramos and C. Guillen-Galvan, Fibonacci numbers of generalized Zykov sums, J. Integer Seq., 15 (2012), Article 12.7.8.
Stephan G. Wagner, The Fibonacci Number of Generalized Petersen Graphs, Fibonacci Quarterly, 44 (2006), 362-367.
FORMULA
a(n) = 3*a(n-1)+15*a(n-2)+3*a(n-3)-13*a(n-4)+4*a(n-5) with a(0)=13,a(1)=76,a(2)=435,a(3)=2461,a(4)=13971.
G.f.: (-4*x^4+23*x^3-12*x^2-37*x-13)/(4*x^5-13*x^4+3*x^3+15*x^2+3*x-1).
MATHEMATICA
LinearRecurrence[{3, 15, 3, -13, 4}, {13, 76, 435, 2461, 13971}, 30] (* Harvey P. Dale, Jul 22 2013 *)
CROSSREFS
Sequence in context: A034265 A282643 A269085 * A269071 A283539 A060717
KEYWORD
nonn,easy
AUTHOR
Cesar Bautista, Apr 10 2012
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 May 30 04:46 EDT 2024. Contains 372958 sequences. (Running on oeis4.)