%I #11 Oct 18 2022 15:26:41
%S -81,-143,-217,-297,-377,-451,-513,-557,-577,-567,-521,-433,-297,-107,
%T 143,459,847,1313,1863,2503,3239,4077,5023,6083,7263,8569,10007,11583,
%U 13303,15173,17199,19387,21743,24273,26983,29879,32967,36253,39743
%N a(n)=n^3-(3*(n+3))^2.
%H Harvey P. Dale, <a href="/A153259/b153259.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).
%F a(1)=-81, a(2)=-143, a(3)=-217, a(4)=-297, a(n)=4*a(n-1)-6*a(n-2)+ 4*a(n-3)- a(n-4). - _Harvey P. Dale_, Jul 10 2013
%t a[n_]:=n^3-(3*(n+3))^2;lst={};Do[AppendTo[lst,a[n]],{n,0,5!}];lst
%t Table[n^3-(3(n+3))^2,{n,0,40}] (* or *) LinearRecurrence[{4,-6,4,-1},{-81,-143,-217,-297},40] (* _Harvey P. Dale_, Jul 10 2013 *)
%o (PARI) a(n)=n^3-(3*n+9)^2 \\ _Charles R Greathouse IV_, Oct 18 2022
%Y Cf. A045991, A081437, A069778, A153257, A153258.
%K sign,easy
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Dec 22 2008
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