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My sequences in OEIS

ODLS

Enumeration:
  • A287695 — Maximum number of normalized orthogonal diagonal Latin squares for one diagonal Latin square of order N (N<10), proving list (best known examples)
  • A305568 — Number of bachelor diagonal Latin squares with constant first row of order N (N<10)
  • A305569 — Number of bachelor diagonal Latin squares of order N (N<10)
  • A305570 — Number of diagonal Latin squares of order N with constant first row with at least one orthogonal diagonal mate (N<10)
  • A305571 — Number of diagonal Latin squares of order N with at least one orthogonal diagonal mate (N<10)
    • Transversals:
  • A357514 — Minimum number of transversals in an ODLS of order N (N<10), proving list (best known examples)
  • A287644 — Maximum number of transversals in an ODLS (same in DLS except N=6) of order N (N<10), proving list (best known examples)
  • A354068 — Minimum number of diagonal transversals in an ODLS of order N (N<10), proving list (best known examples)
  • A360220 — Maximum number of diagonal transversals in an ODLS of order N (N<10), proving list (best known examples)
    • Intercalates, loops, Latin subrectangles and subsquares:
  • A360221 — Minimum number of intercalates in an ODLS of order N (N<10), proving list (best known examples)
  • A360223 — Maximum number of intercalates in an ODLS of order N (N<10), proving list (best known examples)
    • Numerical spectra:
  • A350585 — Transversals in orthogonal diagonal Latin squares of order N (N<9), proving lists (1, 4, 5, 7, 8, 9, 10, 11, 12), graphical view (1, 4, 5, 7, 8, 9, 10, 11, 12, all)
  • A349199 — Diagonal transversals in orthogonal diagonal Latin squares of order N (N<9), proving lists (1, 4, 5, 7, 8, 9, 10, 11, 12), graphical view (1, 4, 5, 7, 8, 9, 10, 11, 12, all)
  • A354050 — Intercalates in orthogonal diagonal Latin squares of order N (N<10), proving lists (1, 4, 5, 7, 8, 9, 10, 11, 12), graphical view (4, 5, 7, 8, 9, 10, 11, 12, all)
    • Main classes for ODLS of different type:
  • A337309 — Number of main classes of DLS without orthogonal mates (bachelor) of order N (N<10)
  • A330391 — Number of main classes of ODLS of order N (N<10)
  • A329685 — Number of main classes of SODLS of order N (N<11)
  • A309210 — Number of main classes of ESODLS of order N (N<10)
  • A333366 — Number of main classes of DSODLS of order N (N<11)
    • Generalized symmetries:
  • A358394 — Number of different types of generalized symmetries in ODLS of order N (N<8), proving lists (4, 5, 7, 8, 9, 10)
  • A358891 — Number of different types of generalized symmetries in parastrofic slices in ODLS of order N (N<8), proving lists (4, 5, 7, 8, 9, 10)

  • Axxxxxx — Minimum number of generalized symmetries in ODLS of order N (N<13)
  • Axxxxxx — Maximum number of generalized symmetries in ODLS of order N (N<10)
  • Axxxxxx — Spectra of number of generalized symmetries in ODLS of order N (N<10)

    • Last updated: Nov 28 2023