A333891 Number of nonequivalent n X n binary matrices with an equal number of ones in every row and column up to permutation of rows.

1, 2, 3, 4, 10, 48, 814, 35048, 4749917, 1991695464, 2744917591408, 12259363447566918, 187472413992607944600, 9519583446974164009046934, 1702816871202402787766029201942, 1029212386646920125804443494952269006, 2240000312861150532290111516186650669871299

Offset: 0

Author

Andrew Howroyd, Apr 18 2020

Keywords

• nonn

Examples

			The a(4) = 10 matrices are:
  [0 0 0 0]  [0 0 0 1]  [0 0 1 1]  [0 1 0 1]  [0 1 1 0]
  [0 0 0 0]  [0 0 1 0]  [0 0 1 1]  [0 1 0 1]  [0 1 1 0]
  [0 0 0 0]  [0 1 0 0]  [1 1 0 0]  [1 0 1 0]  [1 0 0 1]
  [0 0 0 0]  [1 0 0 0]  [1 1 0 0]  [1 0 1 0]  [1 0 0 1]
.
  [0 0 1 1]  [0 0 1 1]  [0 1 0 1]  [0 1 1 1]  [1 1 1 1]
  [0 1 1 0]  [0 1 0 1]  [0 1 1 0]  [1 0 1 1]  [1 1 1 1]
  [1 0 0 1]  [1 0 1 0]  [1 0 0 1]  [1 1 0 1]  [1 1 1 1]
  [1 1 0 0]  [1 1 0 0]  [1 0 1 0]  [1 1 1 0]  [1 1 1 1]
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..20

Crossrefs

Row sums of A260340.