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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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..54.

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 A136452

Adjacent sequences:  A334700 A334701 A334702 * A334704 A334705 A334706

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jun 13 2020.

STATUS

approved

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Last modified September 21 07:28 EDT 2021. Contains 347596 sequences. (Running on oeis4.)