%I #9 Sep 16 2024 23:59:32
%S 1,1,45,4593,732963,155242003,40007492715,11910942902211,
%T 3961395353371797,1438326441446892453,560815045483180502313,
%U 231969721919492199940197,100843924627856371008805767,45742671500990337278105740455,21524779658986553968372985081175
%N 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.
%C In other words, a(n) is the number of increasing tableaux of shape (n,n,n,n).
%H Andrew Howroyd, <a href="/A375052/b375052.txt">Table of n, a(n) for n = 0..40</a>
%Y Column k=4 of A374985.
%Y Cf. A105124.
%K nonn
%O 0,3
%A _Andrew Howroyd_, Sep 16 2024