Персональная страничка Ватутина Эдуарда Игоревича

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My sequences in OEIS

Brown's DLS

Enumeration:
  • A339641 — Number of main classes of Brown's diagonal Latin squares of order N=2n (N<10), proving lists (3 KB)

  • A339305 — Number of Brown's diagonal Latin squares (horizontal, vertical or double) of order N=2n with the fixed first row (N<10), proving lists (673 KB)
  • A340186 — Number of Brown's diagonal Latin squares (horizontal, vertical or double) of order N=2n (N<10)

  • A379145 — Number of horizontal plane Brown's diagonal Latin squares of order N=2n with the fixed first row (N<10), proving lists (341 KB)
  • A381626 — Number of horizontal plane Brown's diagonal Latin squares of order N=2n (N<10)

    • Transversals:
  • Axxxxxx — Minimum number of transversals in Brown's diagonal Latin squares of order N=2n (N<10), proving list (best known examples)
  • A382024 — Maximum number of transversals in Brown's diagonal Latin squares of order N=2n (N<10), proving list (best known examples)
  • Axxxxxx — Minimum number of diagonal transversals in Brown's diagonal Latin squares of order N=2n (N<10), proving list (best known examples)
  • A381971 — Maximum number of diagonal transversals in Brown's diagonal Latin squares of order N=2n (N<10), proving list (best known examples)
    • Intercalates:
  • A379665 — Minimum number of intercalates in Brown's diagonal Latin squares of order N=2n (N<10), proving list (best known examples)
  • A382270 — Maximum number of intercalates in Brown's diagonal Latin squares of order N=2n (N<10), proving list (best known examples)
    • ODLS:
  • Axxxxxx — Minimum number of ODLS in Brown's diagonal Latin squares of order N=2n (N<15), proving list (best known examples)
  • A382272 — Maximum number of ODLS in Brown's diagonal Latin squares of order N=2n (N<10), proving list (best known examples)
    • Spectra:
  • Axxxxxx — Transversals in Brown's diagonal Latin squares od order N=2n (N<10), proving lists (4, 6, 8, 10, 12, 14, 16), graphical view (4, 6, 8, 10, 12, 14, 16, all)
  • A382505 — Diagonal transversals in Brown's diagonal Latin squares od order N=2n (N<10), proving lists (4, 6, 8, 10, 12, 14, 16), graphical view (4, 6, 8, 10, 12, 14, 16, all)
  • Axxxxxx — Intercalates in Brown's diagonal Latin squares od order N=2n (N<10), proving lists (4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28), graphical view (4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, all)
  • Axxxxxx — ODLS in Brown's diagonal Latin squares od order N=2n (N<11), proving lists (4, 6, 8, 10, 12, 14), graphical view (4, 6, 8, 10, 12, 14, all)
    • Double Brown's DLS

    Enumeration:
  • Axxxxxx — Number of main classes of double Brown's diagonal Latin squares of order N=4n (N<10)
  • Axxxxxx — Number of double Brown's diagonal Latin squares of order N=4n with the fixed first row (N<10)
  • Axxxxxx — Number of double Brown's diagonal Latin squares of order N=4n (N<10)

    • Last updated: Mar 29 2025