OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (17,-92,160).
FORMULA
G.f.: 1/((1-4*x)*(1-5*x)*(1-8*x)).
a(n) = (3*4^(n+1)-5^(n+2)+2*8^(n+1))/3. - Bruno Berselli, Apr 05 2011
a(n) = 17*a(n-1) - 92*a(n-2) + 160*a(n-3). - Wesley Ivan Hurt, Sep 04 2022
MATHEMATICA
CoefficientList[Series[1/((1-4x)(1-5x)(1-8x)), {x, 0, 20}], x] (* Harvey P. Dale, Apr 05 2011 *)
Table[(3 4^(n + 1) - 5^(n + 2) + 2 8^(n + 1)) / 3, {n, 0, 50}] (* Vincenzo Librandi, Jun 20 2013 *)
PROG
(Magma) [(3*4^(n+1)-5^(n+2)+2*8^(n+1))/3: n in [0..30]]; // Vincenzo Librandi, Jun 20 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved