OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (2,-1,-1,1).
FORMULA
a(n) = Sum_{k=0..floor((n+1)/2)} (-1)^k*binomial(n+1-2k,k+1), n>=0. - Taras Goy, Apr 15 2020
From Wesley Ivan Hurt, Jan 25 2022: (Start)
G.f.: (1-x)^(-1)/(1-x+x^3).
a(n) = 2*a(n-1)-a(n-2)-a(n-3)+a(n-4). (End)
MATHEMATICA
CoefficientList[Series[(1/(1-x))/(1-x+x^3), {x, 0, 70}], x] (* Harvey P. Dale, Mar 20 2013 *)
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 17 2002
STATUS
approved