OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (14,-55,42).
FORMULA
G.f.: 1/(1-7*x)+1/(1-6*x)-1/(1-x). E.g.f.: e^(7*x)+e^(6*x)-e^x.
a(n)=13*a(n-1)-42*a(n-2)-30 with a(0)=1, a(1)=12 - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=12, a(2)=84, a(n)=14*a(n-1)-55*a(n-2)+42*a(n-3) [From Harvey P. Dale, May 08 2012]
MATHEMATICA
Table[7^n+6^n-1, {n, 0, 20}] (* or *) LinearRecurrence[{14, -55, 42}, {1, 12, 84}, 20] (* Harvey P. Dale, May 08 2012 *)
PROG
(PARI) a(n)=7^n+6^n-1 \\ Charles R Greathouse IV, Jun 11 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 31 2009
STATUS
approved