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A181989 Number of independent sets of nodes in graph C_5 x P_n (n >= 0). 2

%I #17 Oct 20 2017 13:39:24

%S 1,11,81,621,4741,36211,276561,2112241,16132281,123210611,941023441,

%T 7187084861,54891500621,419234905211,3201914754721,24454686308481,

%U 186773143027761,1426483517982011,10894795654704401,83209214029813101,635511992964231701,4853735225243983011

%N Number of independent sets of nodes in graph C_5 x P_n (n >= 0).

%H Cesar Bautista, <a href="/A181989/b181989.txt">Table of n, a(n) for n = 0..299</a>

%H C. Bautista-Ramos and C. Guillen-Galvan, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL15/Bautista/bautista4.html">Fibonacci numbers of generalized Zykov sums</a>, J. Integer Seq., 15 (2012), Article 12.7.8.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (7,5,-1).

%F a(n) = 7*a(n-1) + 5*a(n-2) - a(n-3) with a(0)=1, a(1)=11, a(2)=81.

%F G.f.: (1+4*x-x^2)/(x^3-5*x^2-7*x+1).

%Y Row 5 of A286513.

%K nonn,easy

%O 0,2

%A _Cesar Bautista_, Apr 04 2012

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Last modified July 13 14:24 EDT 2024. Contains 374284 sequences. (Running on oeis4.)