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A334703
Triangle read by rows: T(n,k) = binomial(n*k,3) (0 <= k <= n).
3
0, 0, 0, 0, 0, 4, 0, 1, 20, 84, 0, 4, 56, 220, 560, 0, 10, 120, 455, 1140, 2300, 0, 20, 220, 816, 2024, 4060, 7140, 0, 35, 364, 1330, 3276, 6545, 11480, 18424, 0, 56, 560, 2024, 4960, 9880, 17296, 27720, 41664, 0, 84, 816, 2925, 7140, 14190, 24804, 39711, 59640, 85320
OFFSET
0,6
EXAMPLE
Triangle begins:
[0]
[0, 0]
[0, 0, 4]
[0, 1, 20, 84]
[0, 4, 56, 220, 560]
[0, 10, 120, 455, 1140, 2300]
[0, 20, 220, 816, 2024, 4060, 7140]
[0, 35, 364, 1330, 3276, 6545, 11480, 18424]
[0, 56, 560, 2024, 4960, 9880, 17296, 27720, 41664]
[0, 84, 816, 2925, 7140, 14190, 24804, 39711, 59640, 85320]
...
CROSSREFS
See A334702 for another version.
This is a companion to the triangles A334704 and A334705.
Cf. A007318.
Sequence in context: A054375 A195739 A323128 * A259938 A342202 A355997
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Jun 13 2020.
STATUS
approved