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%I #12 Oct 21 2022 21:21:36
%S 0,3,26,111,324,755,1518,2751,4616,7299,11010,15983,22476,30771,41174,
%T 54015,69648,88451,110826,137199,168020,203763,244926,292031,345624,
%U 406275,474578,551151,636636,731699,837030,953343,1081376,1221891
%N a(n) = n^4 + n^3 + n.
%H Vincenzo Librandi, <a href="/A100606/b100606.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1).
%F a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5); a(0)=0, a(1)=3, a(2)=26, a(3)=111, a(4)=324. - _Harvey P. Dale_, Apr 25 2015
%t Table[n^4+n^3+n,{n,0,40}] (* or *) LinearRecurrence[{5,-10,10,-5,1},{0,3,26,111,324},40] (* _Harvey P. Dale_, Apr 25 2015 *)
%o (Magma) [n^4+n^3+n: n in [0..50]]; // _Vincenzo Librandi_, Jun 09 2011
%o (PARI) a(n)=n^4+n^3+n \\ _Charles R Greathouse IV_, Oct 21 2022
%Y Cf. A000583, A002523, A091940, A071253, A059826, A027445, A053699, A100019.
%K nonn,easy
%O 0,2
%A Douglas Winston (douglas.winston(AT)srupc.com), Nov 30 2004
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