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.

Showing 1-3 of 3 results.

A266170 Number of species of maximal pairs of orthogonal Latin squares.

Original entry on oeis.org

0, 0, 1, 0, 0, 0, 5, 2127, 91845941
Offset: 1

Views

Author

Ian Wanless, Dec 22 2015

Keywords

Comments

These pairs are maximal in that they cannot be extended to a triple of MOLS.

Crossrefs

A129732 counts species of all pairs of MOLS whether maximal or not. Cf. A266171, A266177.

A305568 Number of bachelor diagonal Latin squares of order n with the first row in ascending order.

Original entry on oeis.org

0, 0, 0, 0, 4, 128, 170944, 7446955776, 5056994558482608
Offset: 1

Views

Author

Eduard I. Vatutin, Jun 05 2018

Keywords

Comments

A bachelor diagonal Latin square is one with no orthogonal mate.

Crossrefs

Formula

a(n) = A305569(n) / n!.
a(n) = A274171(n) - A305570(n).

Extensions

a(9) added by Eduard I. Vatutin, Dec 22 2020

A305569 Number of bachelor diagonal Latin squares of order n.

Original entry on oeis.org

0, 0, 0, 0, 480, 92160, 861557760, 300261256888320, 1835082185382168791040
Offset: 1

Views

Author

Eduard I. Vatutin, Jun 05 2018

Keywords

Comments

A bachelor diagonal Latin square is one with no orthogonal mate.

Crossrefs

Formula

a(n) = A305568(n) * n!.
a(n) = A274806(n) - A305571(n).

Extensions

a(9) added by Eduard I. Vatutin, Dec 22 2020
Showing 1-3 of 3 results.