%I #16 Jun 14 2020 05:46:58
%S 0,0,0,0,0,4,0,1,20,84,0,4,56,220,560,0,10,120,455,1140,2300,0,20,220,
%T 816,2024,4060,7140,0,35,364,1330,3276,6545,11480,18424,0,56,560,2024,
%U 4960,9880,17296,27720,41664,0,84,816,2925,7140,14190,24804,39711,59640,85320
%N Triangle read by rows: T(n,k) = binomial(n*k,3) (0 <= k <= n).
%e Triangle begins:
%e [0]
%e [0, 0]
%e [0, 0, 4]
%e [0, 1, 20, 84]
%e [0, 4, 56, 220, 560]
%e [0, 10, 120, 455, 1140, 2300]
%e [0, 20, 220, 816, 2024, 4060, 7140]
%e [0, 35, 364, 1330, 3276, 6545, 11480, 18424]
%e [0, 56, 560, 2024, 4960, 9880, 17296, 27720, 41664]
%e [0, 84, 816, 2925, 7140, 14190, 24804, 39711, 59640, 85320]
%e ...
%Y See A334702 for another version.
%Y This is a companion to the triangles A334704 and A334705.
%Y Cf. A007318.
%K nonn,tabl
%O 0,6
%A _N. J. A. Sloane_, Jun 13 2020.