OFFSET
0,1
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*(1-9*x+25*x^2-41*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 26 2013
MATHEMATICA
CoefficientList[Series[2 (1 - 9 x + 25 x^2 - 41 x^3)/((1-x)^2 (1-5 x)(1-7 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Feb 25 2013 *)
LinearRecurrence[{14, -60, 82, -35}, {2, 10, 70, 462}, 30] (* Harvey P. Dale, Dec 21 2014 *)
PROG
(Magma) [7^n+5^n-2*n: n in [0..20]]; // Vincenzo Librandi, Feb 25 2013
(Magma) I:=[2, 10, 70, 462]; [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