OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (20,-129,310,-200).
FORMULA
G.f.: 1/((1-x)*(1-4*x)*(1-5*x)*(1-10*x)).
a(n) = -1/108 +2^(2n+5)/9 -5^(n+2)/4 +10^(n+2)/27. [Bruno Berselli, May 08 2013]
MATHEMATICA
CoefficientList[Series[1/((1 - x) (1 - 4 x) (1 - 5 x) (1 - 10 x)), {x, 0, 20}], x] (* Bruno Berselli, May 08 2013 *)
PROG
(PARI) Vec(1/((1-x)*(1-4*x)*(1-5*x)*(1-10*x))+O(x^20)) \\ Bruno Berselli, May 08 2013
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-4*x)*(1-5*x)*(1-10*x)))); // Bruno Berselli, May 08 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved