Персональная страничка Ватутина Эдуарда Игоревича

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My sequences in OEIS

SODLS/DSODLS/ESODLS

SODLS:
  • A329685 — Number of main classes of self-orthogonal diagonal Latin squares of order N (N<11), proving lists (1-10)
  • A287761 — Number of self-orthogonal diagonal Latin squares with ordered first string of order N (N<11) (was known before me for 1 <= N <= 9, verified and added to OEIS by me, extended by me for order N=10)
  • A287762 — Number of self-orthogonal diagonal Latin squares of order N (N<11) (was known before me for 1 <= N <= 9, verified and added to OEIS by me, extended by me for order N=10)
    • ESODLS:
    Enumeration:
  • A309210 — Number of main classes of ESODLS of order N (N<11), proving lists (1-8, 9, 10)
  • A309598 — Number of ESODLS of order N with fixed first row (N<11)
  • A309599 — Number of ESODLS of order N (N<11)
    • Transversals:
  • A383684 — Minimum number of transversals in an ESODLS (N<11), proving list
  • Axxxxxx (1, 0, 0, 8, 15, 0, 133, 384, 2241, 988) — Maximum number of transversals in an ESODLS (N<11), proving list
  • Axxxxxx (1, 0, 0, 4, 5, 0, 8, 16, 15, 75) — Minimum number of diagonal transversals in an ESODLS (N<11), proving list
  • Axxxxxx (1, 0, 0, 4, 5, 0, 27, 96, 333, 152) — Maximum number of diagonal transversals in an ESODLS (N<11), proving list
    • Intercalates:
  • A382952 (0, 0, 0, 12, 0, 0, 0, 16, 0, 5) — Minimum number of intercalates in an ESODLS (N<11), proving list (separate series absent, information added here)
  • A382952 (0, 0, 0, 12, 0, 0, 18, 112, 72, 53) — Maximum number of intercalates in an ESODLS (N<11), proving list
    • Spectra:
  • Axxxxxx (1, 0, 0, 1, 1, 0, 4, 5, 244, 62) — Transversals (N<11), proving lists (1, 4, 5, 7, 8, 9, 10), graphical view (1, 4, 5, 7, 8, 9, 10, all)
  • Axxxxxx (1, 0, 0, 1, 1, 0, 3, 7, 147, 78) — Diagonal transversals (N<11), proving lists (1, 4, 5, 7, 8, 9, 10), graphical view (1, 4, 5, 7, 8, 9, 10, all)
  • A382957 — Intercalates (N<11), proving lists (1, 4, 5, 7, 8, 9, 10), graphical view (1, 4, 5, 7, 8, 9, 10, all)
    • DSODLS:
  • A333366 — Number of main classes of doubly self-orthogonal diagonal Latin squares (DSODLS) of order N (N<11), proving lists (1-10)
  • A333367 — Number of DSODLS of order N with fixed first row (N<11)
  • A333671 — Number of DSODLS of order N (N<11)

    • Last updated: May 05 2025