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.

A166487 Number of (row,column)-paratopism classes of SOLSSOMs of order n.

Original entry on oeis.org

1, 1, 0, 2, 32, 26, 0
Offset: 4

Views

Author

Martin P Kidd, Oct 21 2009

Keywords

Comments

A SOLSSOM is a self-orthogonal Latin square with a symmetric orthogonal mate. Two SOLSSOMs (L,S) and (L',S') are (row,column)-paratopic if a permutation applied to the rows and columns of L and S and two permutations applied to the symbols of L and S, respectively, maps (L,S) to (L',S') or (L'',S') (where L'' is the transpose of L').

References

  • A.P. Burger, M.P. Kidd and J.H. van Vuuren, Enumeration of self-orthogonal Latin squares with symmetric orthogonal mates, Submitted to LitNet Akademies (Natuurwetenskappe)

Crossrefs

Cf. A166488, A166489, A166490

Extensions

Class names corrected, and results for not only unipotent SOLSSOMs provided by Martin P Kidd, Nov 01 2010

A166489 Number of standard SOLSSOMs of order n.

Original entry on oeis.org

2, 12, 0, 480, 374400, 3528000, 0
Offset: 4

Views

Author

Martin P Kidd, Oct 21 2009

Keywords

Comments

A SOLSSOM is a self-orthogonal Latin square with a symmetric orthogonal mate. A SOLSSOM is standard if the self-orthogonal Latin square is idempotent and if the symmetric mate is reduced.

References

  • A.P. Burger, M.P. Kidd and J.H. van Vuuren, Enumeration of self-orthogonal Latin squares with symmetric orthogonal mates, Submitted to LitNet Akademies (Natuurwetenskappe)

Crossrefs

Cf. A166487, A166488, A166490

Extensions

Definition and number of order 8 (now includes non-unipotent SOLSSOMs) corrected by Martin P Kidd, Nov 01 2010

A166490 Number of SOLSSOMs of order n.

Original entry on oeis.org

1152, 172800, 0, 12192768000, 608662978560000, 464573723443200000, 0
Offset: 4

Views

Author

Martin P Kidd, Oct 21 2009

Keywords

Comments

A SOLSSOM is a self-orthogonal Latin square with a symmetric orthogonal mate.

References

  • A.P. Burger, M.P. Kidd and J.H. van Vuuren, Enumeration of self-orthogonal Latin squares with symmetric orthogonal mates, Submitted to LitNet Akademies (Natuurwetenskappe)

Crossrefs

Cf. A166487, A166488, A166489.

Extensions

Number for n=8 corrected by Martin P Kidd, Nov 01 2010
Showing 1-3 of 3 results.

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