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A109816 n^2 followed by n followed by n^3.

%I A109816 #24 Sep 08 2022 08:45:19
%S A109816 1,1,1,4,2,8,9,3,27,16,4,64,25,5,125,36,6,216,49,7,343,64,8,512,81,9,
%T A109816 729,100,10,1000,121,11,1331,144,12,1728,169,13,2197,196,14,2744,225,
%U A109816 15,3375,256,16,4096,289,17,4913,324,18,5832,361,19,6859,400,20,8000
%N A109816 n^2 followed by n followed by n^3.
%H A109816 Vincenzo Librandi, <a href="/A109816/b109816.txt">Table of n, a(n) for n = 1..1000</a>
%H A109816 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,4,0,0,-6,0,0,4,0,0,-1).
%F A109816 From _Chai Wah Wu_, Jul 16 2016: (Start)
%F A109816 a(n) = 4*a(n-3) - 6*a(n-6) + 4*a(n-9) - a(n-12) for n > 12.
%F A109816 G.f.: x*(x^8 + x^7 - x^6 + 4*x^5 - 2*x^4 + x^2 + x + 1)/((x - 1)^4*(x^2 + x + 1)^4). (End)
%F A109816 a(n) = floor((n+2)/3)^(-(n mod 3)+3). - _Luce ETIENNE_, Mar 01 2018
%t A109816 Table[{n^2, n, n^3}, {n, 20}] // Flatten (* _Bruno Berselli_, Sep 01 2016 *)
%o A109816 (Magma) &cat[[n^2,n,n^3]: n in [1..20]]; // _Bruno Berselli_, Sep 01 2016
%Y A109816 Cf. A000463.
%Y A109816 Cf. A010872.
%K A109816 nonn,easy
%O A109816 1,4
%A A109816 _Mohammad K. Azarian_, Aug 30 2005