OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..900
Index entries for linear recurrences with constant coefficients, signature (14,-13).
FORMULA
a(n) = 13*a(n-1) - 6, a(0)=1.
From Elmo R. Oliveira, Mar 25 2025: (Start)
G.f.: (1-7*x)/((1-x)*(1-13*x)).
E.g.f.: exp(7*x)*cosh(6*x).
a(n) = 14*a(n-1) - 13*a(n-2).
a(n) = A141012(n+1)/2. (End)
MATHEMATICA
(13^Range[0, 20] + 1)/2 (* Paolo Xausa, Mar 28 2025 *)
PROG
(Magma) [(13^n+1)/2: n in [0..20]];
(PARI) a(n)=(13^n+1)/2 \\ Charles R Greathouse IV, Dec 27 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 17 2011
STATUS
approved