OFFSET
0,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (14,-49).
FORMULA
G.f.: -7*(3*x-1)*x/(7*x-1)^2.
a(n) = 7^(n-1)*(4*n+3) for n>0, a(0) = 0.
From Elmo R. Oliveira, Nov 20 2025: (Start)
E.g.f.: (exp(7*x)*(28*x + 3) - 3)/7.
a(n) = 14*a(n-1) - 49*a(n-2) for n > 2. (End)
MAPLE
a:= n-> `if`(n=0, 0, 7^(n-1)*(4*n+3)):
seq(a(n), n=0..30);
MATHEMATICA
(* Alternative: *)
LinearRecurrence[{14, -49}, {0, 7, 77}, 25] (* Paolo Xausa, Aug 13 2026 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Sep 18 2013
STATUS
approved