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Expansion of (1-2x-3x^2+x^3-x^5)/(1+4x^3+x^6).
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%I #7 Jun 13 2015 00:53:01

%S 1,-2,-3,-3,8,11,11,-30,-41,-41,112,153,153,-418,-571,-571,1560,2131,

%T 2131,-5822,-7953,-7953,21728,29681,29681,-81090,-110771,-110771,

%U 302632,413403,413403,-1129438,-1542841,-1542841,4215120,5757961,5757961

%N Expansion of (1-2x-3x^2+x^3-x^5)/(1+4x^3+x^6).

%C Hankel transform of A157125.

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,-4,0,0,-1).

%F a(0)=1, a(1)=-2, a(2)=-3, a(3)=-3, a(4)=8, a(5)=11, a(n)=-4*a(n-3)-a(n-6). - _Harvey P. Dale_, Jan 16 2013

%t CoefficientList[Series[(1-2x-3x^2+x^3-x^5)/(1+4x^3+x^6),{x,0,40}],x] (* or *) LinearRecurrence[{0,0,-4,0,0,-1},{1,-2,-3,-3,8,11},40] (* _Harvey P. Dale_, Jan 16 2013 *)

%Y Cf. A048788.

%K easy,sign

%O 0,2

%A _Paul Barry_, Feb 23 2009