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 1-2 of 2 results.

A360221 Minimum number of intercalates in an orthogonal diagonal Latin square of order n.

Original entry on oeis.org

0, 0, 0, 12, 0, 0, 0, 2, 0
Offset: 1

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Author

Eduard I. Vatutin, Jan 30 2023

Keywords

Comments

An intercalate is a 2 X 2 subsquare of a Latin square.
An orthogonal diagonal Latin squares is a diagonal Latin square that has at least one orthogonal diagonal mate.
a(10) <= 1, a(11) = 0, a(12) <= 4, a(13) = 0. - Eduard I. Vatutin, added Jan 30 2023, updated Sep 24 2024

Links

Crossrefs

Cf. A305570, A305571, A307163, A354050, A360223.

A382952 Maximum number of intercalates in an extended self-orthogonal diagonal Latin square of order n.

Original entry on oeis.org

0, 0, 0, 12, 0, 0, 18, 112, 72, 53
Offset: 1

Views

Author

Eduard I. Vatutin, Apr 09 2025

Keywords

Comments

A self-orthogonal diagonal Latin square (SODLS) is a diagonal Latin square orthogonal to its transpose. An extended self-orthogonal diagonal Latin square (ESODLS) is a diagonal Latin square that has an orthogonal diagonal Latin square from the same main class. SODLS is a special case of ESODLS.
Table showing minimums and maximums:
order | 4 5 6 7 8 9 10
min number of intercalates | 12 0 - 0 16 0 5
max number of intercalates | 12 0 - 18 112 72 53 (this sequence)

Links

Crossrefs

Cf. A092237, A307164, A309210, A309598, A309599, A360223, A382957.
Showing 1-2 of 2 results.

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