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A334703 Triangle read by rows: T(n,k) = binomial(n*k,3) (0 <= k <= n). 3

%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.

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)