cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A326342 Number of n X n binary matrices with total support.

Original entry on oeis.org

1, 3, 49, 7443, 6092721
Offset: 1

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Author

Christian Stricker, Jun 28 2019

Keywords

Comments

A nonnegative matrix has total support if it is nonzero and for every positive entry there exists a permutation of the columns such that the positive entry is a diagonal entry afterwards and all diagonal entries are positive afterwards.
Number of n X n binary matrices generated by applying the sign function on the entries of a doubly stochastic n X n matrix. - [R. Sinkhorn and P. Knopp (1967)]

Examples

			For n = 2 the a(2) = 3 matrices are:
  [1 1]  [1 0]  [0 1]
  [1 1], [0 1], [1 0].

Links

Crossrefs

A326343 counts only the inequivalent matrices.
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