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 A114114 #3 Mar 30 2012 18:59:12
%S A114114 1,1,1,0,2,1,0,1,2,1,0,0,2,2,1,0,0,1,2,2,1,0,0,0,2,2,2,1,0,0,0,1,2,2,
%T A114114 2,1,0,0,0,0,2,2,2,2,1,0,0,0,0,1,2,2,2,2,1,0,0,0,0,0,2,2,2,2,2,1,0,0,
%U A114114 0,0,0,1,2,2,2,2,2,1,0,0,0,0,0,0,2,2,2,2,2,2,1
%N A114114 An invertible partition matrix.
%C A114114 Row sums are n+1, A000027. Diagonal sums are 1,1,1,2,2,2,3,3,3,.... or A008620. Inverse is A114115. Product with first difference matrix (1-x,x) is A114117.
%F A114114 Number triangle T(n, k)=sum{j=0..n, C(floor((n+j)/2), k)C(k, floor((n+j)/2))}.
%e A114114 Triangle begins
%e A114114 1.................=1
%e A114114 1,1...............=2
%e A114114 0,2,1.............=3
%e A114114 0,1,2,1...........=4
%e A114114 0,0,2,2,1.........=5
%e A114114 0,0,1,2,2,1.......=6
%e A114114 0,0,0,2,2,2,1.....=7
%e A114114 0,0,0,1,2,2,2,1...=8
%K A114114 easy,nonn,tabl
%O A114114 0,5
%A A114114 _Paul Barry_, Nov 13 2005