OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
N. Gogin and A. Mylläri, Padovan-like sequences and Bell polynomials, Proceedings of Applications of Computer Algebra ACA, 2013.
Index entries for linear recurrences with constant coefficients, signature (0,-2,1).
FORMULA
a(0)=1, a(1)=0, a(2)=-2, a(n) = -2*a(n-2)+a(n-3). - Harvey P. Dale, Jan 22 2015
a(n) = (-1)^n * A077967(n). - G. C. Greubel, Jun 24 2019
MATHEMATICA
CoefficientList[Series[1/(1+2x^2-x^3), {x, 0, 50}], x] (* or *) LinearRecurrence[ {0, -2, 1}, {1, 0, -2}, 50] (* Harvey P. Dale, Jan 22 2015 *)
PROG
(PARI) my(x='x+O('x^50)); Vec(1/(1+2*x^2-x^3)) \\ Altug Alkan, Feb 20 2018
(Magma) R<x>:=PowerSeriesRing(Integers(), 50); Coefficients(R!( 1/(1+2*x^2-x^3) )); // G. C. Greubel, Jun 24 2019
(Sage) (1/(1+2*x^2-x^3)).series(x, 50).coefficients(x, sparse=False) # G. C. Greubel, Jun 24 2019
(GAP) a:=[1, 0, -2];; for n in [4..50] do a[n]:=-2*a[n-2]+a[n-3]; od; a; # G. C. Greubel, Jun 24 2019
CROSSREFS
KEYWORD
sign,easy
AUTHOR
N. J. A. Sloane, Nov 17 2002
STATUS
approved