This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A100606 #16 Aug 29 2025 11:41:22
%S A100606 0,3,26,111,324,755,1518,2751,4616,7299,11010,15983,22476,30771,41174,
%T A100606 54015,69648,88451,110826,137199,168020,203763,244926,292031,345624,
%U A100606 406275,474578,551151,636636,731699,837030,953343,1081376,1221891,1375674,1543535,1726308
%N A100606 a(n) = n^4 + n^3 + n.
%H A100606 Vincenzo Librandi, <a href="/A100606/b100606.txt">Table of n, a(n) for n = 0..1000</a>
%H A100606 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A100606 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
%F A100606 From _Elmo R. Oliveira_, Aug 29 2025: (Start)
%F A100606 G.f.: x*(3 + 11*x + 11*x^2 - x^3)/(1-x)^5.
%F A100606 E.g.f.: x*(3 + 10*x + 7*x^2 + x^3)*exp(x). (End)
%t A100606 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 A100606 (Magma) [n^4+n^3+n: n in [0..50]]; // _Vincenzo Librandi_, Jun 09 2011
%o A100606 (PARI) a(n)=n^4+n^3+n \\ _Charles R Greathouse IV_, Oct 21 2022
%Y A100606 Cf. A000583, A002523, A027445, A053699, A059826, A071253, A091940, A100019.
%K A100606 nonn,easy,changed
%O A100606 0,2
%A A100606 Douglas Winston (douglas.winston(AT)srupc.com), Nov 30 2004