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 A244883 #19 Sep 08 2022 08:46:08
%S A244883 1,14,100,472,1691,4988,12744,29160,61149,119482,220220,386464,650455,
%T A244883 1056056,1661648,2543472,3799449,5553510,7960468,11211464,15540019,
%U A244883 21228724,28616600,38107160,50177205,65386386,84387564,107938000,136911407,172310896,215282848
%N A244883 Expansion of (1+6*x+16*x^2+8*x^3+x^4)/(1-x)^8.
%H A244883 Todd Silvestri, <a href="/A244883/b244883.txt">Table of n, a(n) for n = 0..10000</a>
%H A244883 R. P. Stanley, <a href="/A002721/a002721.pdf">Examples of Magic Labelings</a>, Unpublished Notes, 1973 [Cached copy, with permission]
%H A244883 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A244883 a(n) = ((n+1)*(n+2)*(n+3)*(n*(n+4)*(n*(16*n+57)+137)+420))/2520. - _Todd Silvestri_, Nov 16 2014
%t A244883 a[n_Integer/;n>=0]:=((n+1) (n+2) (n+3) (n (n+4) (n (16 n+57)+137)+420))/2520 (* _Todd Silvestri_, Nov 16 2014 *)
%t A244883 CoefficientList[Series[(1 + 6 x + 16 x^2 + 8 x^3 + x^4) / (1 - x)^8, {x, 0, 100}], x] (* _Vincenzo Librandi_, Nov 16 2014 *)
%t A244883 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{1,14,100,472,1691,4988,12744,29160},40] (* _Harvey P. Dale_, May 11 2020 *)
%o A244883 (Magma) [((n+1)*(n+2)*(n+3)*(n*(n+4)*(n*(16*n+57)+137)+420))/2520: n in [0..40]]; // _Vincenzo Librandi_, Nov 16 2014
%K A244883 nonn,easy
%O A244883 0,2
%A A244883 _N. J. A. Sloane_, Jul 08 2014