OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (8,-17,10).
FORMULA
G.f.: 1/(1-5*x)-1/(1-2*x)+1/(1-x).
E.g.f.: e^(5*x) - e^(2*x) + e^x.
a(n) = 7*a(n-1)-10*a(n-2)+4 with a(0)=1, a(1)=4. - Vincenzo Librandi, Jul 21 2010
a(n) = A005057(n)+1. - R. J. Mathar, Mar 10 2022
MATHEMATICA
Table[5^n-2^n+1, {n, 0, 30}] (* or *) LinearRecurrence[{8, -17, 10}, {1, 4, 22}, 30] (* Harvey P. Dale, Sep 11 2019 *)
PROG
(PARI) a(n)=5^n-2^n+1 \\ Charles R Greathouse IV, Sep 24 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 25 2009
STATUS
approved