A375052 Number of n X 4 matrices whose values cover an initial interval of positive integers and whose rows and columns have values which are strictly increasing.

1, 1, 45, 4593, 732963, 155242003, 40007492715, 11910942902211, 3961395353371797, 1438326441446892453, 560815045483180502313, 231969721919492199940197, 100843924627856371008805767, 45742671500990337278105740455, 21524779658986553968372985081175

Offset: 0

Author

Andrew Howroyd, Sep 16 2024

Keywords

• nonn

Comments

In other words, a(n) is the number of increasing tableaux of shape (n,n,n,n).

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..40

Crossrefs

Column k=4 of A374985.

Cf. A105124.