A182054 Number of independent sets of nodes in the generalized Petersen graph G(2n,2) (n>=0).
8, 3, 39, 171, 1055, 5828, 33327, 188499, 1069855, 6065487, 34399844, 195074223, 1106262671, 6273528979, 35576813647, 201753798116, 1144133068159, 6488305791115, 36794770328583, 208660804936031, 1183302172416580, 6710431459264095, 38054430587741959
Offset: 0
Links
- Cesar Bautista, Table of n, a(n) for n = 0..499
- 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.
- Index entries for linear recurrences with constant coefficients, signature (3,15,3,-13,4).
Crossrefs
Cf. A182077.
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)=8, a(1)=3, a(2)=39, a(3)=171, a(4)=1055, a(5)=5828.
G.f.: ((6*x^2-11*x-8)*(2*x^3-5*x^2-4*x+1)) / (4*x^5-13*x^4+3*x^3+15*x^2+3*x-1).