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 A008598 #60 Apr 08 2025 14:13:39
%S A008598 0,16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,
%T A008598 304,320,336,352,368,384,400,416,432,448,464,480,496,512,528,544,560,
%U A008598 576,592,608,624,640,656,672,688,704,720,736,752,768,784,800,816,832
%N A008598 Multiples of 16.
%C A008598 If X is an n-set and Y_i (i=1,2,3,4) mutually disjoint 2-subsets of X then a(n-6) is equal to the number of 5-subsets of X intersecting each Y_i (i=1,2,3,4). - _Milan Janjic_, Aug 26 2007
%H A008598 Vincenzo Librandi, <a href="/A008598/b008598.txt">Table of n, a(n) for n = 0..1000</a>
%H A008598 INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=328">Encyclopedia of Combinatorial Structures 328</a>.
%H A008598 Milan Janjic, <a href="https://old.pmf.unibl.org/wp-content/uploads/2017/10/enumfor.pdf">Two Enumerative Functions</a>.
%H A008598 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.
%H A008598 Luis Manuel Rivera, <a href="http://arxiv.org/abs/1406.3081">Integer sequences and k-commuting permutations</a>, arXiv preprint arXiv:1406.3081 [math.CO], 2014-2015.
%H A008598 Leo Tavares, <a href="/A008598/a008598.jpg">Illustration: Square Block Star Frames</a>
%H A008598 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A008598 a(n) = Sum_{k=1..8n} (i^k+1)*(i^(8n-k)+1), where i=sqrt(-1). - _Bruno Berselli_, Mar 19 2012
%F A008598 G.f.: 16*x/(x-1)^2. - _Vincenzo Librandi_, Jun 10 2013
%F A008598 a(n) = A014641(n) - A185212(n). - _Leo Tavares_, May 24 2022
%F A008598 From _Elmo R. Oliveira_, Apr 07 2025: (Start)
%F A008598 E.g.f.: 16*x*exp(x).
%F A008598 a(n) = 16*n = 2*A008590(n) = A174312(n)/2.
%F A008598 a(n) = 2*a(n-1) - a(n-2). (End)
%p A008598 A008598:=n->16*n; seq(A008598(n), n=0..100); # _Wesley Ivan Hurt_, Nov 13 2013
%t A008598 Range[0, 1000, 16] (* _Vladimir Joseph Stephan Orlovsky_, May 31 2011 *)
%t A008598 CoefficientList[Series[16 x / (x - 1)^2, {x, 0, 60}], x] (* _Vincenzo Librandi_ Jun 10 2013 *)
%o A008598 (PARI) a(n)=16*n \\ _Charles R Greathouse IV_, Sep 24 2015
%Y A008598 Cf. A008590, A008596, A008597, A014641, A174312, A185212.
%K A008598 nonn,easy
%O A008598 0,2
%A A008598 _N. J. A. Sloane_