OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (14,-60,82,-35).
FORMULA
G.f.: 2*(7*x-74*x^2+211*x^3)/((1-x)^2*(1-5*x)*(1-7*x)). - Vincenzo Librandi, Feb 25 2013
a(n) = 14*a(n-1)-60*a(n-2)+82*a(n-3)-35*a(n-4). - Vincenzo Librandi, Feb 27 2013
MATHEMATICA
CoefficientList[Series[2 (7 x - 74 x^2 + 211 x^3)/((1-x)^2 (1-5 x)(1-7 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Feb 25 2013 *)
PROG
(Magma) [7^n - 5^n + 12*n: n in [0..30]]; // Vincenzo Librandi, Feb 25 2013
(Magma) I:=[0, 14, 48, 254]; [n le 4 select I[n] else 14*Self(n-1)-60*Self(n-2)+82*Self(n-3)-35*Self(n-4): n in [1..20]]; // Vincenzo Librandi, Feb 25 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Aug 19 2006
EXTENSIONS
Edited by Ray Chandler, Sep 06 2006
STATUS
approved