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

0,3

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.

Sequence in context: A274603 A036521 A328356 * A093533 A101291 A061542

Adjacent sequences: A375049 A375050 A375051 * A375053 A375054 A375055

Keyword

nonn

Author

Andrew Howroyd, Sep 16 2024

Status

approved