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 A043302 #8 Apr 30 2014 01:36:03
%S A043302 1,2,1,4,6,3,8,24,30,15,16,80,180,210,105,32,240,840,1680,1890,945,64,
%T A043302 672,3360,10080,18900,20790,10395,128,1792,12096,50400,138600,249480,
%U A043302 270270,135135,256,4608,40320,221760,831600,2162160,3783780,4054050
%N A043302 Triangular table of 2^n *(n+k)! / ((n-k)! * k! * 4^k).
%F A043302 T(n, 0) = A001147(n). T(n, n) = A000079(n).
%e A043302 1; 2, 1; 4, 6, 3; 8, 24, 30, 15; 16, 80, 180, 210, 105; ...
%o A043302 (PARI) {T(n, k) = if( k<0 || k>n, 0, 2^n * (n+k)! / ((n-k)! * k! * 4^k))}
%Y A043302 Cf. A000079, A001147, A001498, A043301, A043302. Row sums is A043301.
%K A043302 nonn,tabl,easy
%O A043302 1,2
%A A043302 _Michael Somos_, Jul 16 2002