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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.
2
1, 1, 45, 4593, 732963, 155242003, 40007492715, 11910942902211, 3961395353371797, 1438326441446892453, 560815045483180502313, 231969721919492199940197, 100843924627856371008805767, 45742671500990337278105740455, 21524779658986553968372985081175
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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
*
A384078
A093533
A101291
Adjacent sequences:
A375049
A375050
A375051
*
A375053
A375054
A375055
KEYWORD
nonn
AUTHOR
Andrew Howroyd
, Sep 16 2024
STATUS
approved