OFFSET
0,2
LINKS
R. H. Hardin, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (2,0,-1,0,0,1).
FORMULA
a(n) = 2*a(n-1) - a(n-3) + a(n-6). - Andrew Howroyd, Feb 14 2018
G.f.: (1 + x^3)/(1 - 2*x + x^3 - x^6). - R. J. Mathar, Nov 30 2011
MAPLE
f:= gfun:-rectoproc({a(n) = 2*a(n-1)-a(n-3)+a(n-6), seq(a(i)=[14, 24, 41, 70, 120, 207][i-3], i=4..9)}, a(n), remember):
map(f, [$0..35]); # Robert Israel, Sep 19 2017
MATHEMATICA
LinearRecurrence[{2, 0, -1, 0, 0, 1}, {1, 2, 4, 8, 14, 24}, 50] (* G. C. Greubel, Sep 19 2017 *)
PROG
(PARI) Vec((1 + x^3)/(1 - 2*x + x^3 - x^6) + O(x^40)) \\ G. C. Greubel, Sep 19 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 14 2009
EXTENSIONS
a(0)-a(3) prepended by Andrew Howroyd, Feb 14 2018
STATUS
approved