OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (15,-54,40).
FORMULA
G.f.: 1/(1-10*x)-1/(1-4*x)+1/(1-x). E.g.f.: e^(10*x)-e^(4*x)+e^x.
a(n)=14*a(n-1)-40*a(n-2)+27 with a(0)=1, a(1)=7 - Vincenzo Librandi, Jul 21 2010
MATHEMATICA
LinearRecurrence[{15, -54, 40}, {1, 7, 85}, 30] (* Harvey P. Dale, Aug 30 2017 *)
PROG
(PARI) a(n)=10^n-4^n+1 \\ Charles R Greathouse IV, Sep 24 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 30 2009
STATUS
approved