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 A326279 #4 Jun 25 2019 10:10:36 %S A326279 0,0,0,0,28,864,32064,2094064 %N A326279 Number of labeled n-vertex simple graphs containing either a crossing or a nesting pair of edges. %C A326279 Two edges {a,b}, {c,d} are crossing if a < c < b < d or c < a < d < b, and nesting if a < c < d < b or c < a < b < d. %F A326279 A006125(n) = a(n) + A326244(n). %e A326279 The a(4) = 28 edge-sets: %e A326279 {13,24} {12,13,24} {12,13,14,23} {12,13,14,23,24} {12,13,14,23,24,34} %e A326279 {14,23} {12,14,23} {12,13,14,24} {12,13,14,23,34} %e A326279 {13,14,23} {12,13,23,24} {12,13,14,24,34} %e A326279 {13,14,24} {12,13,24,34} {12,13,23,24,34} %e A326279 {13,23,24} {12,14,23,24} {12,14,23,24,34} %e A326279 {13,24,34} {12,14,23,34} {13,14,23,24,34} %e A326279 {14,23,24} {13,14,23,24} %e A326279 {14,23,34} {13,14,23,34} %e A326279 {13,14,24,34} %e A326279 {13,23,24,34} %e A326279 {14,23,24,34} %t A326279 croXQ[stn_]:=MatchQ[stn,{___,{x_,y_},___,{z_,t_},___}/;x<z<y<t||z<x<t<y]; %t A326279 nesXQ[stn_]:=MatchQ[stn,{___,{x_,y_},___,{z_,t_},___}/;x<z<t<y||z<x<y<t]; %t A326279 Table[Length[Select[Subsets[Subsets[Range[n],{2}]],croXQ[#]||nesXQ[#]&]],{n,0,5}] %Y A326279 Crossing and nesting simple graphs are (both) A326210, while non-crossing, non-nesting simple graphs are A326244. %Y A326279 Cf. A000108, A001519, A006125, A016098, A054726, A095661, A324170. %Y A326279 Cf. A326209, A326211, A326248, A326250, A326256. %K A326279 nonn,more %O A326279 0,5 %A A326279 _Gus Wiseman_, Jun 23 2019