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a(n) = (10*n + 4)^2.
2

%I #19 Sep 08 2022 08:44:42

%S 16,196,576,1156,1936,2916,4096,5476,7056,8836,10816,12996,15376,

%T 17956,20736,23716,26896,30276,33856,37636,41616,45796,50176,54756,

%U 59536,64516,69696,75076,80656,86436

%N a(n) = (10*n + 4)^2.

%H Vincenzo Librandi, <a href="/A017318/b017318.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

%F G.f.: -4*(x+4)*(9*x+1)/(x-1)^3. - _R. J. Mathar_, Mar 20 2018

%F a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - _Wesley Ivan Hurt_, Aug 19 2022

%t (10Range[0,30]+4)^2 (* or *) LinearRecurrence[{3,-3,1},{16,196,576},30] (* _Harvey P. Dale_, May 03 2018 *)

%o (Magma) [(10*n+4)^2: n in [0..40] ]; // _Vincenzo Librandi_, Aug 01 2011

%o (PARI) a(n)=(10*n+4)^2 \\ _Charles R Greathouse IV_, Jun 17 2017

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_