OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (14,-13).
FORMULA
From R. J. Mathar, Jan 05 2011: (Start)
a(n) = 1 + A141012(n+1).
G.f.: (3-27*x)/((13*x-1)*(x-1)). (End)
From Elmo R. Oliveira, May 07 2025: (Start)
E.g.f.: (2 + exp(12*x))*exp(x).
a(n) = 14*a(n-1) - 13*a(n-2). (End)
MATHEMATICA
LinearRecurrence[{14, -13}, {3, 15}, 30]
13^Range[0, 20]+2 (* Harvey P. Dale, Aug 13 2019 *)
PROG
(Magma) I:=[3, 15]; [n le 2 select I[n] else 14*Self(n-1)-13*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Feb 25 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 10 2009
EXTENSIONS
a(9) corrected and a(17), a(18) added by R. J. Mathar, Jan 05 2011
STATUS
approved