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My sequences in OEISIsomorphism classes:A000315 — Number of reduced Latin squares of order n (N<12) (was known before me) A000479 — Number of Latin squares of order N with fixed first row (N<12) (was known before me) A002860 — Number of Latin squares of order N (N<12) (was known before me)
Transversals:A040082 — Number of inequivalent Latin squares (or isotopy classes of Latin squares) of order N (was known before me) A003090 — Number of species (or "main classes" or "paratopy classes") of Latin squares of order N (was known before me)
Intercalates:A091323 — Minimum number of transversals in a Latin square of order N (N<10), proving list (best known examples) (was known before me, verified for orders N<9, proving list added, lower bounds for higher orders added as result of experiments with DLS) A090741 — Maximum number of transversals in a Latin square of order N (N<10), proving list (best known examples) (was known before me)
Numerical spectra:Axxxxxx — Minimum number of intercalates in a Latin square of order N (N<21), proving list (best known examples) A092237 — Maximum number of intercalates in a Latin square of order N (N<21), proving list (best known examples) (was known before me, verified for orders N<9, expanded for high orders)
A309344 — Transversals in a Latin squares of order N (N<9), proving lists (1, 2, 3, 4, 5, 6, 7, 8), graphical view (1, 2, 3, 4, 5, 6, 7, 8, all) (was known before me, verified for orders N<9, proven lists added) A368182 — Intercalates in a Latin squares of order N (N<20), proving lists (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20), graphical view (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, all)
Last updated: Apr 24 2024