A331707 Number of nonnegative integer matrices with 3 distinct columns and any number of distinct nonzero rows with column sums n and columns in decreasing lexicographic order.

0, 1, 46, 1900, 73028, 2448599, 75497242, 2339274204, 69674762468, 1979828352817, 54476556180342, 1451352388018928, 37417987990316376, 936855054326483475, 22833066202591181758, 542259452432969505704, 12569324678536063256324, 284784345516356806067001, 6313245421002223574950650

Offset

0,3

Comments

The condition that the columns be in decreasing order is equivalent to considering nonequivalent matrices with distinct columns up to permutation of columns.

Links

Table of n, a(n) for n=0..18.

Example

The a(1) = 1 matrix is:
  [1 0 0]
  [0 1 0]
  [0 0 1]

Crossrefs

Column k=3 of A331570.

Cf. A331706.

Sequence in context: A318044 A263190 A364119 * A223813 A324451 A162889

Adjacent sequences: A331704 A331705 A331706 * A331708 A331709 A331710

Keyword

nonn

Author

Andrew Howroyd, Jan 25 2020

Status

approved