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 A194123 #5 Mar 30 2012 18:57:40 %S A194123 0,2,2,5,0,5,9,5,5,9,14,14,0,14,14,20,28,14,14,28,20,27,48,42,0,42,48, %T A194123 27,35,75,90,42,42,90,75,35,44,110,165,132,0,132,165,110,44,54,154, %U A194123 275,297,132,132,297,275,154,54,65,208,429,572,429,0,429,572,429,208,65 %N A194123 Triangular array: T(n,k)=|C(n+2,k)-C(n+2,k+2)|, 0<=k<=n. %e A194123 Northwest corner: %e A194123 0 %e A194123 2...2 %e A194123 5...0...5 %e A194123 9...5...5...9 %e A194123 14..14..0...14..14 %e A194123 20..28..14..14..28..20 %t A194123 T[n_, k_]:=Abs[Binomial[n+2,k]-Binomial[n+2,k+2]] %t A194123 Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]] %t A194123 (* A194123 as a sequence *) %t A194123 TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]] %t A194123 (* A194123 as an array *) %Y A194123 Cf. A194124. %K A194123 nonn,tabl %O A194123 0,2 %A A194123 _Clark Kimberling_, Aug 16 2011