EntityQ1396592· pop 19· linked from 45 articlesFarey sequenceSign in to saveincreasing sequence of reduced fractions between 0 and 1 whose denominators do not exceed a given positive integerConnectionsfractionEntityJohn FareyEntityAlexander BogomolnyEntityUnited KingdomCountrymathematicsEntityInternational Standard Book NumberEntityPythonEntityintegerEntitydigital object identifierEntityirrational numberEntityDonald KnuthEntityseriesEntityAugustin-Louis CauchyEntitysequenceEntityG.H. HardyEntitygreatest common divisorEntityabsolute valueEntitydata structureEntityleast common multipleEntitydeterminantEntityCategoriesFractions (mathematics)Number theorySequences and series