OFFSET
0,3
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0, 3, 0, -3, 0, 1).
FORMULA
a(n) = 3*a(n-2)-3*a(n-4)+a(n-6).
G.f.: x^2*(2+x)/((1-x)^3*(1+x)^3). [R. J. Mathar, Jul 17 2009]
a(n) = (3*n^2+4*n-1+(n^2+4*n+1)*(-1)^n)/16. - Luce ETIENNE, Aug 19 2014
MAPLE
MATHEMATICA
LinearRecurrence[{0, 3, 0, -3, 0, 1}, {0, 0, 2, 1, 6, 3}, 60] (* Harvey P. Dale, Jun 01 2012 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul Curtz, Sep 24 2007
EXTENSIONS
Edited by N. J. A. Sloane, Sep 27 2007
More terms from R. J. Mathar, Oct 26 2007
STATUS
approved