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 A335748 #9 Jul 09 2020 16:11:46
%S A335748 1,0,1,0,-1,4,0,1,-12,30,0,-1,28,-180,336,0,1,-60,750,-3360,5040,0,-1,
%T A335748 124,-2700,21840,-75600,95040,0,1,-252,9030,-117600,705600,-1995840,
%U A335748 2162160,0,-1,508,-28980,571536,-5292000,25280640,-60540480,57657600
%N A335748 T(n,k) = (-1)^n*(binomial(2*k,k)/(k+1))*Sum_{j=0..n} (-1)^j*binomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.
%F A335748 T(n, k) = (-1)^n*CatalanNumber(k)*Sum_{j=0..n}(-1)^j*binomial(k, j)*j^n.
%e A335748 [0] 1
%e A335748 [1] 0, 1
%e A335748 [2] 0, -1, 4
%e A335748 [3] 0, 1, -12, 30
%e A335748 [4] 0, -1, 28, -180, 336
%e A335748 [5] 0, 1, -60, 750, -3360, 5040
%e A335748 [6] 0, -1, 124, -2700, 21840, -75600, 95040
%e A335748 [7] 0, 1, -252, 9030, -117600, 705600, -1995840, 2162160
%e A335748 [8] 0, -1, 508, -28980, 571536, -5292000, 25280640, -60540480, 57657600
%Y A335748 Cf. A006531 (row sums), A052895 (absolute row sums), T(n,n) = A001761(n) (signed A292220(n)).
%K A335748 sign,tabl
%O A335748 0,6
%A A335748 _Peter Luschny_, Jul 09 2020