OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,-2).
FORMULA
a(n) = 2*a(n-1) - 5 with n>0, a(0)=6.
From Colin Barker, Jul 01 2012: (Start)
a(n) = 3*a(n-1) - 2*a(n-2).
G.f.: (6 - 11*x)/((1-x)*(1-2*x)). (End)
E.g.f.: exp(2*x) + 5*exp(x). - G. C. Greubel, Jul 27 2016
MATHEMATICA
a[n_]:=2^n+5; a[Range[0, 200]] (* Vladimir Joseph Stephan Orlovsky, Feb 20 2011*)
CoefficientList[Series[(6 - 11 x)/((1 - x) (1 - 2 x)), {x, 0, 40}], x] (* Vincenzo Librandi, Sep 19 2013 *)
PROG
(Magma) [2^n+5: n in [0..40]]; // Vincenzo Librandi, Sep 19 2013
(PARI) a(n)=2^n+5 \\ Charles R Greathouse IV, Oct 27 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Dec 01 2009
EXTENSIONS
Checked by Michael B. Porter, Jun 16 2010
STATUS
approved