OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Wei Chen, Enumeration of Set Partitions Refined by Crossing and Nesting Numbers, MS Thesis, Department of Mathematics. Simon Fraser University, Fall 2014. Table 5.2, r=2.
Takao Komatsu, Asymmetric Circular Graph with Hosoya Index and Negative Continued Fractions, arXiv:2105.08277 [math.CO], 2021.
Index entries for linear recurrences with constant coefficients, signature (8,-12).
FORMULA
a(n) = 6*a(n-1) - 2^n = 8*a(n-1) - 12*a(n-2).
From Mohammad K. Azarian, Jan 02 2009: (Start)
G.f.: 1/(1-2*x) + 1/(1-6*x).
E.g.f.: e^(2*x) + e^(6*x). (End)
MATHEMATICA
Table[2^n + 6^n, {n, 0, 22}]
PROG
(Magma) [2^n + 6^n: n in [0..35]]; // Vincenzo Librandi, Apr 30 2011
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 25 2002
STATUS
approved