OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (16,-64).
FORMULA
From Vincenzo Librandi, Aug 09 2017: (Start)
G.f.: 8*x/(8*x-1)^2.
a(n) = 16*a(n-1) - 64*a(n-2) for n > 1. (End)
From Amiram Eldar, Jul 20 2020: (Start)
Sum_{n>=1} 1/a(n) = log(8/7).
Sum_{n>=1} (-1)^(n+1)/a(n) = log(9/8). (End)
From Elmo R. Oliveira, Sep 09 2024: (Start)
E.g.f.: 8*x*exp(8*x).
MATHEMATICA
Table[n 7^n, {n, 0, 30}] (* or *) LinearRecurrence[{16, -64}, {0, 8}, 31] (* Vincenzo Librandi, Aug 09 2017 *)
PROG
(Magma) [n*8^n: n in [0..20]]; // Vincenzo Librandi, Aug 09 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved