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 A163259 #6 Dec 12 2016 11:55:12
%S A163259 0,0,0,0,1,0,0,0,1,0,0,2,4,1,0,0,0,0,5,1,0,0,3,5,15,6,1,0,0,0,14,0,21,
%T A163259 7,1,0,0,4,0,14,56,28,8,1,0,0,0,12,42,0,84,36,9,1,0,0,5,30,90,42,210,
%U A163259 120,45,10,1,0,0,0,0,0,132,0,330,165,55,11,1,0,0,6,22,55,297,132,792,495
%N A163259 Triangle T(n,k) read by rows: mod(A007318(n,k+1);A007318(n,k)).
%C A163259 The zeros in this table form the pattern of ones in A051731.
%H A163259 G. C. Greubel, <a href="/A163259/b163259.txt">Table of n, a(n) for the first 50 rows</a>
%F A163259 T(n, k) = mod(binomial(n, k + 1), binomial(n, k)), for 0 <= k <= n, n>= 0. - _G. C. Greubel_, Dec 12 2016
%e A163259 Table begins:
%e A163259 0
%e A163259 0...0
%e A163259 0...1...0
%e A163259 0...0...1...0
%e A163259 0...2...4...1...0
%e A163259 0...0...0...5...1...0
%e A163259 0...3...5..15...6...1...0
%e A163259 0...0..14...0..21...7...1...0
%e A163259 0...4...0..14..56..28...8...1...0
%e A163259 0...0..12..42...0..84..36...9...1...0
%e A163259 0...5..30..90..42.210.120..45..10...1...0
%t A163259 T[n_, k_] := Mod[Binomial[n, k + 1], Binomial[n, k]]; Table[T[n, k], {n, 0, 10}, {k, 0, n}]// Flatten (* _G. C. Greubel_, Dec 12 2016 *)
%Y A163259 Cf. A163260, A051731, A007318.
%K A163259 nonn,tabl
%O A163259 1,12
%A A163259 _Mats Granvik_, Jul 23 2009
%E A163259 Corrected the formula in the title _Mats Granvik_, Jul 24 2009