OFFSET
0,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (5,-4).
FORMULA
From R. J. Mathar, Aug 11 2009: (Start)
a(n)= 5*a(n-1) - 4*a(n-2).
G.f.: (4 - 15*x)/((4*x-1)*(x-1)). (End)
E.g.f.: (1/3)*(exp(4*x) + 11*exp(x)). - G. C. Greubel, Aug 06 2017
MATHEMATICA
LinearRecurrence[{5, -4}, {4, 5}, 50] (* G. C. Greubel, Aug 06 2017 *)
(4^Range[0, 30]+11)/3 (* Harvey P. Dale, Sep 10 2023 *)
PROG
(PARI) x='x+O('x^50); Vec((4 - 15*x)/((4*x-1)*(x-1))) \\ G. C. Greubel, Aug 06 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Juri-Stepan Gerasimov, Aug 08 2009
EXTENSIONS
a(11) corrected by R. J. Mathar, Aug 11 2009
STATUS
approved