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 A144225 #3 Mar 30 2012 18:57:11 %S A144225 1,0,0,0,1,0,0,1,1,0,0,1,2,1,0,0,1,3,3,1,0,0,1,4,6,4,1,0,0,1,5,10,10, %T A144225 5,1,0,0,1,6,15,20,15,6,1,0,0,1,7,21,35,35,21,7,1,0,0,1,8,28,56,70,56, %U A144225 28,8,1,0,0,1,9,36,84,126,126,84,36,9,1,0,0,1,10,45,120,210,252,210,120,45 %N A144225 Bordered Pascal's triangle in rectangular format. %C A144225 This is the weight array (defined at A144112) of Pascal's rectangle - that is, Pascal's triangle A007318 formatted as a rectangle. %F A144225 After deleting row 1, (1 0 0 0 ...) and column 1, (1 0 0 0 ...), the remaining array is given by R(m,n)=C(m+n-2,m-1). This "Pascal rectangle" is the accumulation array of A144225. %e A144225 Northwest corner: %e A144225 1 0 0 0 0 0 0 0 %e A144225 0 1 1 1 1 1 1 1 %e A144225 0 1 2 3 4 5 6 7 %e A144225 0 1 3 6 10 15 21 28 %e A144225 0 1 4 10 20 35 56 %Y A144225 A007318, A144112. %K A144225 nonn,tabl %O A144225 1,13 %A A144225 _Clark Kimberling_, Sep 15 2008