cp's OEIS Frontend

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.

A194123 Triangular array: T(n,k)=|C(n+2,k)-C(n+2,k+2)|, 0<=k<=n.

This page as a plain text file.
%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