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.

1, 1, 3, 197, 732963, 289599115433, 19454710000290140631, 324252739440855086589750626125, 1839663535877691613435674541258128354870051, 4664717625821787781559533555514908690826684467996898799881, 6714190347498763079980307954946450922919624466513063316268554904936722083543

Offset: 0

Author

Andrew Howroyd, Sep 16 2024

Keywords

• nonn

Examples

			The a(2) = 3 matrices are:
  [1 2]    [1 2]    [1 3]
  [2 3]    [3 4]    [2 4]
		

Links

• Ludovic Schwob, Table of n, a(n) for n = 0..20
• Andrew Howroyd, PARI Program, Sep 2024.

Crossrefs

Main diagonal of A374985.

Cf. A039622 (case all values also distinct), A068942, A376162 (case for symmetric matrices).

Programs

PARI

\\ See Links section for program file.
vector(8, n, A374514(n-1))