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

1, 11, 81, 621, 4741, 36211, 276561, 2112241, 16132281, 123210611, 941023441, 7187084861, 54891500621, 419234905211, 3201914754721, 24454686308481, 186773143027761, 1426483517982011, 10894795654704401, 83209214029813101, 635511992964231701, 4853735225243983011

Offset

0,2

Links

Cesar Bautista, Table of n, a(n) for n = 0..299

C. Bautista-Ramos and C. Guillen-Galvan, Fibonacci numbers of generalized Zykov sums, J. Integer Seq., 15 (2012), Article 12.7.8.

Index entries for linear recurrences with constant coefficients, signature (7,5,-1).

Formula

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

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

Crossrefs

Row 5 of A286513.

Sequence in context: A333061 A055429 A227556 * A199557 A003730 A334340

Adjacent sequences: A181986 A181987 A181988 * A181990 A181991 A181992

Keyword

nonn,easy

Author

Cesar Bautista, Apr 04 2012

Status

approved