OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (8,-7).
FORMULA
a(n) = 7*a(n-1)+6, n>0.
G.f.: (1+5*x)/((1-x)*(1-7*x)). - Vincenzo Librandi, Jul 06 2012
a(n) = 8*a(n-1) -7*a(n-2). - Vincenzo Librandi, Jul 06 2012
MATHEMATICA
CoefficientList[Series[(1+5*x)/((1-x)*(1-7*x)), {x, 0, 40}], x] (* Vincenzo Librandi, Jul 06 2012 *)
2*7^Range[0, 20]-1 (* or *) LinearRecurrence[{8, -7}, {1, 13}, 20] (* Harvey P. Dale, Aug 19 2022 *)
PROG
(Magma) [2*7^n-1: n in [0..20]]
(PARI) a(n)=2*7^n-1 \\ Charles R Greathouse IV, Dec 28 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 27 2011
STATUS
approved