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A202751

Number of n X n nonnegative integer arrays with each row and column increasing from zero by 0 or 1.

1, 2, 8, 62, 924, 26394, 1442764, 150786848, 30114993376, 11489639088218, 8372083277093216, 11649087077771471438, 30947648445392475219812, 156963868041535457457609234, 1519762800266538697863301357568

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OFFSET

1,2

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..18

Dylan Heuer, Partial Alternating Sign Matrix Bijections and Dynamics, arXiv:2403.02242 [math.CO], 2024. See p. 6.

Dylan Heuer and Jessica Striker, Partial permutation and alternating sign matrix polytopes, arXiv:2012.09901 [math.CO], 2020.

EXAMPLE

Some solutions for n=5:

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0

0 0 0 1 1 0 0 1 1 2 0 0 1 1 1 0 0 0 1 1

0 1 1 1 1 0 0 1 2 3 0 1 1 2 2 0 0 1 2 2

0 1 2 2 2 0 1 2 3 4 0 1 2 2 3 0 1 1 2 3

CROSSREFS

Diagonal of A202756.

Sequence in context: A230824 A006245 A379614 * A227160 A191604 A009271

Adjacent sequences: A202748 A202749 A202750 * A202752 A202753 A202754

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 23 2011

STATUS

approved

URL: https://oeis.org/A202751

⇱ A202751 - OEIS