OFFSET
0,2
LINKS
FORMULA
a(n) = n*A000400(n). - Michel Marcus, Nov 09 2013
From Vincenzo Librandi, Apr 10 2016: (Start)
G.f.: 6*x/(1-6*x)^2.
a(n) = 12*a(n-1) - 36*a(n-2) for n > 1. (End)
From Amiram Eldar, Jul 20 2020: (Start)
Sum_{n>=1} 1/a(n) = log(6/5).
Sum_{n>=1} (-1)^(n+1)/a(n) = log(7/6). (End)
E.g.f.: 6*x*exp(6*x). - Elmo R. Oliveira, Sep 09 2024
MAPLE
MATHEMATICA
Table[n*6^n, {n, 0, 50}] (* Wesley Ivan Hurt, Nov 08 2013 *)
LinearRecurrence[{12, -36}, {0, 6}, 25] (* Vincenzo Librandi, Apr 10 2016 *)
PROG
(PARI) a(n) = n*6^n; \\ Michel Marcus, Nov 09 2013
(Magma) [n*6^n: n in [0..30]]; // Vincenzo Librandi, Apr 10 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved