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Expansion of x(1-2x^2)/(1-x-2x^2)^2.
1

%I #14 Jan 01 2024 11:06:16

%S 0,1,2,5,12,27,62,137,304,663,1442,3109,6676,14259,30342,64321,135928,

%T 286415,601962,1262173,2640860,5514731,11495502,23923065,49710272,

%U 103148807,213754162,442421397,914668964,1888990243,3897285142

%N Expansion of x(1-2x^2)/(1-x-2x^2)^2.

%C Second column of A091595.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,3,-4,-4).

%t CoefficientList[Series[x (1-2x^2)/(1-x-2x^2)^2,{x,0,30}],x] (* or *) LinearRecurrence[{2,3,-4,-4},{0,1,2,5},40] (* _Harvey P. Dale_, Dec 01 2015 *)

%K easy,nonn

%O 0,3

%A _Paul Barry_, Jan 23 2004