The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A211400

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A211400

Rectangular array, read by upward diagonals: T(n,m) is the number of Young tableaux that can be realized as the ranks of the outer sums a_i + b_j where a = (a_1, ... a_n) and b = (b_1, ... b_m) are real monotone vectors in general position (all sums different).
(history; published version)

#41 by Alois P. Heinz at Wed Jun 14 16:47:53 EDT 2023

STATUS

proposed

approved

#40 by Michael De Vlieger at Wed Jun 14 16:29:30 EDT 2023

STATUS

editing

proposed

#39 by Michael De Vlieger at Wed Jun 14 16:29:28 EDT 2023

LINKS

Federico Castillo and Jean-Philippe Labbé, <a href="https://arxiv.org/abs/2306.00082">Lineup polytopes of product of simplices</a>, arXiv:2306.00082 [math.CO], 2023.

STATUS

approved

editing

#38 by Georg Fischer at Fri Jan 25 14:22:31 EST 2019

STATUS

proposed

approved

#37 by Michel Marcus at Fri Jan 25 12:22:34 EST 2019

STATUS

editing

proposed

#36 by Michel Marcus at Fri Jan 25 12:22:30 EST 2019

REFERENCES

C. L. Mallows, R. J. Vanderbei, Which Young Tableaux Can Represent an Outer Sum?, Journal of Integer Sequences, Vol. 18, 2015, #15.9.1.

LINKS

C. Mallows, R. J. Vanderbei, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Vanderbei/vand3.html">Which Young Tableaux Can Represent an Outer Sum?</a>, J. Int. Seq. 18 (2015) #15.9.1.

STATUS

approved

editing

#35 by N. J. A. Sloane at Thu Jan 28 15:52:26 EST 2016

STATUS

editing

approved

#34 by N. J. A. Sloane at Thu Jan 28 15:52:24 EST 2016

REFERENCES

C. L. Mallows, R. J. Vanderbei, Which Young Tableaux Can Represent an Outer Sum?, Journal of Integer Sequences, Vol. 18, 2015, #15.9.1.

STATUS

approved

editing

#33 by N. J. A. Sloane at Sun Mar 01 23:25:50 EST 2015

STATUS

editing

approved

#32 by N. J. A. Sloane at Sun Mar 01 23:25:48 EST 2015

EXAMPLE

1 5 36 295 2583 23580 221680 ... (A255489)

CROSSREFS

Cf. A060854, A000108, A255489.

STATUS

approved

editing