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%I #22 Sep 21 2017 14:15:54
%S 0,1,1,5,2,5,5,29,12,29,29,169,70,169,169,985,408,985,985,5741,2378,
%T 5741,5741,33461,13860,33461,33461,195025,80782,195025,195025,1136689,
%U 470832,1136689,1136689,6625109,2744210,6625109,6625109,38613965,15994428,38613965
%N a(n) = 6*a(n-4) - a(n-8).
%H G. C. Greubel, <a href="/A116558/b116558.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,6,0,0,0,-1).
%F From _R. J. Mathar_, Nov 28 2008: (Start)
%F a(n) = 6*a(n-4) - a(n-8).
%F G.f.: x*(1+x+5*x^2+2*x^3-x^4-x^5-x^6)/((1-2*x^2-x^4)*(1+2*x^2-x^4)). (End)
%t CoefficientList[Series[x (1+x+5x^2+2x^3-x^4-x^5-x^6)/((1-2x^2-x^4) (1+2x^2-x^4)),{x,0,50}],x] (* _Harvey P. Dale_, May 11 2011 *)
%o (PARI) x='x+O('x^50); Vec(x*(1+x+5*x^2+2*x^3-x^4-x^5-x^6)/((1-2*x^2-x^4)*(1+2*x^2-x^4))) \\ _G. C. Greubel_, Sep 20 2017
%Y Quadrisections: A001542, A001653. [From _R. J. Mathar_, Nov 28 2008]
%K nonn,less,easy
%O 0,4
%A _Roger L. Bagula_, Mar 16 2006
%E Edited, corrected and new name using Mathar's formula, Editors, Sep 21 2017