OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..300
Index entries for linear recurrences with constant coefficients, signature (16,-63).
FORMULA
a(n) = 9*a(n-1) + 8*7^(n-1).
a(n) = 5*9^n - 4*7^n.
G.f.: (1+x)/((1-7*x)*(1-9*x)). - Vincenzo Librandi, Aug 06 2013
a(0)=1, a(1)=17, a(n)=16*a(n-1)-63*a(n-2). - Harvey P. Dale, Oct 07 2014
E.g.f.: exp(7*x)*(5*exp(2*x) - 4). - Stefano Spezia, Jul 23 2024
MATHEMATICA
CoefficientList[Series[(1 + x)/((1 - 7 x) (1 - 9 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)
LinearRecurrence[{16, -63}, {1, 17}, 30] (* Harvey P. Dale, Oct 07 2014 *)
PROG
(Magma) [5*9^n-4*7^n: n in [0..25]]; // Vincenzo Librandi, Aug 06 2013
(PARI) a(n)=5*9^n-4*7^n \\ Charles R Greathouse IV, Oct 07 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Paul Barry, Mar 03 2003
STATUS
approved