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 A114118 #2 Mar 30 2012 18:59:13
%S A114118 1,2,1,1,3,1,0,2,3,1,0,1,3,3,1,0,0,2,3,3,1,0,0,1,3,3,3,1,0,0,0,2,3,3,
%T A114118 3,1,0,0,0,1,3,3,3,3,1,0,0,0,0,2,3,3,3,3,1,0,0,0,0,1,3,3,3,3,3,1,0,0,
%U A114118 0,0,0,2,3,3,3,3,3,1,0,0,0,0,0,1,3,3,3,3,3,3,1,0,0,0,0,0,0,2,3,3,3,3,3,3,1
%N A114118 Number triangle T(n,k)=sum{j=0..n, C(floor((n+k+j)/3),k)C(k,floor((n+k+j)/3))}.
%C A114118 Row sums are A114119. Diagonal sums are A008619(n+1).
%e A114118 Triangle begins
%e A114118 1...........................= 1 = 1 mod 3
%e A114118 2,1.........................= 3 = 0 mod 3
%e A114118 1,3,1.......................= 5 = 2 mod 3
%e A114118 0,2,3,1.....................= 6 = 0 mod 3
%e A114118 0,1,3,3,1...................= 8 = 2 mod 3
%e A114118 0,0,2,3,3,1.................= 9 = 0 mod 3
%e A114118 0,0,1,3,3,3,1...............= 11 = 2 mod 3
%e A114118 0,0,0,2,3,3,3,1.............= 12 = 0 mod 3
%e A114118 0,0,0,1,3,3,3,3,1...........= 14 = 2 mod 3
%e A114118 0,0,0,0,2,3,3,3,3,1.........= 15 = 0 mod 3
%e A114118 0,0,0,0,1,3,3,3,3,3,1.......= 17 = 2 mod 3
%e A114118 0,0,0,0,0,2,3,3,3,3,3,1.....= 18 = 0 mod 3
%K A114118 easy,nonn,tabl
%O A114118 0,2
%A A114118 _Paul Barry_, Nov 13 2005