The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A181543 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A181543

Triangle of cubed binomial coefficients, T(n,k) = C(n,k)^3, read by rows.
(history; published version)

#46 by Alois P. Heinz at Wed Jan 06 12:20:07 EST 2021

STATUS

editing

approved

#45 by Alois P. Heinz at Wed Jan 06 12:20:04 EST 2021

MAPLE

T:= (n, k)-> binomial(n, k)^3:

seq(seq(T(n, k), k=0..n), n=0..10); # Alois P. Heinz, Jan 06 2021

STATUS

approved

editing

#44 by Alois P. Heinz at Wed Jan 06 12:14:54 EST 2021

STATUS

editing

approved

#43 by Alois P. Heinz at Wed Jan 06 12:14:51 EST 2021

EXAMPLE

1;

1, 1;

1, 8, 1;

1, 27, 27, 1;

1, 64, 216, 64, 1;

1, 125, 1000, 1000, 125, 1;

1, 216, 3375, 8000, 3375, 216, 1;

1, 343, 9261, 42875, 42875, 9261, 343, 1;

1, 512, 21952, 175616, 343000, 175616, 21952, 512, 1;

1, 729, 46656, 592704, 2000376, 2000376, 592704, 46656, 729, 1; ...

...

STATUS

proposed

editing

#42 by Michel Marcus at Wed Jan 06 12:09:08 EST 2021

STATUS

editing

proposed

#41 by Michel Marcus at Wed Jan 06 12:09:04 EST 2021

LINKS

Jeffrey S. Geronimo, Hugo J. Woerdeman, and Chung Y. Wong, <a href="https://arxiv.org/abs/2101.00525">The autoregressive filter problem for multivariable degree one symmetric polynomials</a>, arXiv:2101.00525 [math.CA], 2021.

STATUS

proposed

editing

#40 by Paul D. Hanna at Wed Jan 06 12:05:51 EST 2021

STATUS

editing

proposed

Discussion

Wed Jan 06

12:07

Paul D. Hanna: Proposed link is for a recent paper that mentions this OEIS entry by A number.

#39 by Paul D. Hanna at Wed Jan 06 12:05:21 EST 2021

LINKS

Jeffrey S. Geronimo, Hugo J. Woerdeman, Chung Y. Wong, <a href="https://arxiv.org/abs/2101.00525">The autoregressive filter problem for multivariable degree one symmetric polynomials</a>, arXiv:2101.00525 [math.CA], 2021.

STATUS

approved

editing

#38 by Joerg Arndt at Mon Jul 02 01:51:18 EDT 2018

STATUS

reviewed

approved

#37 by Michel Marcus at Mon Jul 02 01:10:11 EDT 2018

STATUS

proposed

reviewed