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

0,3

Links

Table of n, a(n) for n=0..10.

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

Adjacent sequences: A374511 A374512 A374513 * A374515 A374516 A374517

Keyword

nonn

Author

Andrew Howroyd, Sep 16 2024

Status

approved