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A374514
Number of n X n matrices whose values cover an initial interval of positive integers and whose rows and columns have values which are strictly increasing.
4
1, 1, 3, 197, 732963, 289599115433, 19454710000290140631, 324252739440855086589750626125, 1839663535877691613435674541258128354870051, 4664717625821787781559533555514908690826684467996898799881, 6714190347498763079980307954946450922919624466513063316268554904936722083543
OFFSET
0,3
LINKS
Andrew Howroyd, PARI Program, Sep 2024.
EXAMPLE
The a(2) = 3 matrices are:
[1 2] [1 2] [1 3]
[2 3] [3 4] [2 4]
PROG
(PARI) \\ See Links section for program file.
vector(8, n, A374514(n-1))
CROSSREFS
Main diagonal of A374985.
Cf. A039622 (case all values also distinct), A068942, A376162 (case for symmetric matrices).
Sequence in context: A309749 A209120 A336250 * A256407 A256406 A157565
KEYWORD
nonn
AUTHOR
Andrew Howroyd, Sep 16 2024
STATUS
approved