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 A328826 #10 Feb 03 2022 19:30:19
%S A328826 1,2,1,24,12,2,720,360,72,6,40320,20160,4320,480,24,3628800,1814400,
%T A328826 403200,50400,3600,120,479001600,239500800,54432000,7257600,604800,
%U A328826 30240,720,87178291200,43589145600,10059033600,1397088000,127008000,7620480,282240,5040,20922789888000
%N A328826 Triangle read by rows: binomial(n,k)*(2*n-k)!, n>=0, 0<=k<=n.
%C A328826 Vertex-labeled disconnected Goldstone diagrams with n vertices and k single-particle potentials.
%H A328826 P. J. Rossky, M. Karplus, <a href="https://doi.org/10.1063/1.432387">The enumeration of Goldstone diagrams in many-body perturbation theory</a>, J. Chem. Phys. 64 (1976) 1569, equation (9) and Table 1.
%F A328826 T(n,k)= binomial(n,k)*(2*n-k)!.
%F A328826 T(n,k) = A328921(n,k) + A328922(n,k). - _R. J. Mathar_, Nov 02 2019
%e A328826 The triangle starts
%e A328826 1;
%e A328826 2 1;
%e A328826 24 12 2;
%e A328826 720 360 72 6;
%e A328826 40320 20160 4320 480 24;
%p A328826 A328826 := proc(n,k)
%p A328826 binomial(n,k)*(2*n-k)! ;
%p A328826 end proc:
%t A328826 Table[Binomial[n,k](2n-k)!,{n,0,10},{k,0,n}]//Flatten (* _Harvey P. Dale_, Feb 03 2022 *)
%Y A328826 Cf. A099022 (row sums), A000142 (diagonal), A010050 (column k=0), A002674 (k=1).
%K A328826 nonn,easy,tabl
%O A328826 0,2
%A A328826 _R. J. Mathar_, Oct 28 2019