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- Polite_number abstract "In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. Other positive integers are impolite.Polite numbers have also been called staircase numbers because the Young diagrams representing graphically the partitions of a polite number into consecutive integers (in the French style of drawing these diagrams) resemble staircases. If all numbers in the sum are strictly greater than one, the numbers so formed are also called trapezoidal numbers because they represent patterns of points arranged in a trapezoid.The problem of representing numbers as sums of consecutive integers and of counting the number of representations of this type has been studied by Sylvester, Mason, Leveque, and many other more recent authors.".
- Polite_number thumbnail Young_456_French.svg?width=300.
- Polite_number wikiPageExternalLink viewer.php?obj_id=2074.
- Polite_number wikiPageExternalLink 20031002.php.
- Polite_number wikiPageExternalLink index.html.
- Polite_number wikiPageID "4047259".
- Polite_number wikiPageLength "16021".
- Polite_number wikiPageOutDegree "27".
- Polite_number wikiPageRevisionID "631939084".
- Polite_number wikiPageWikiLink Bijection.
- Polite_number wikiPageWikiLink Bijective_proof.
- Polite_number wikiPageWikiLink Category:Additive_number_theory.
- Polite_number wikiPageWikiLink Category:Figurate_numbers.
- Polite_number wikiPageWikiLink Category:Integer_sequences.
- Polite_number wikiPageWikiLink Category:Quadrilaterals.
- Polite_number wikiPageWikiLink Category:Recreational_mathematics.
- Polite_number wikiPageWikiLink Cribbage.
- Polite_number wikiPageWikiLink Divisor.
- Polite_number wikiPageWikiLink Fermat_number.
- Polite_number wikiPageWikiLink Fermat_prime.
- Polite_number wikiPageWikiLink James_Joseph_Sylvester.
- Polite_number wikiPageWikiLink Lambek–Moser_theorem.
- Polite_number wikiPageWikiLink Mersenne_prime.
- Polite_number wikiPageWikiLink Natural_number.
- Polite_number wikiPageWikiLink Number_theory.
- Polite_number wikiPageWikiLink Odd_number.
- Polite_number wikiPageWikiLink Parity_(mathematics).
- Polite_number wikiPageWikiLink Partition_(number_theory).
- Polite_number wikiPageWikiLink Perfect_number.
- Polite_number wikiPageWikiLink Positive_integer.
- Polite_number wikiPageWikiLink Power_of_two.
- Polite_number wikiPageWikiLink Prime_factor.
- Polite_number wikiPageWikiLink Prime_factors.
- Polite_number wikiPageWikiLink Staircase.
- Polite_number wikiPageWikiLink Stairs.
- Polite_number wikiPageWikiLink Trapezoid.
- Polite_number wikiPageWikiLink Triangular_number.
- Polite_number wikiPageWikiLink William_J._LeVeque.
- Polite_number wikiPageWikiLink Young_diagram.
- Polite_number wikiPageWikiLink Young_tableau.
- Polite_number wikiPageWikiLink File:Young_456_French.svg.
- Polite_number wikiPageWikiLinkText "Polite number".
- Polite_number wikiPageWikiLinkText "polite number".
- Polite_number hasPhotoCollection Polite_number.
- Polite_number id "10725".
- Polite_number title "Polite number".
- Polite_number wikiPageUsesTemplate Template:Citation.
- Polite_number wikiPageUsesTemplate Template:Classes_of_natural_numbers.
- Polite_number wikiPageUsesTemplate Template:OEIS.
- Polite_number wikiPageUsesTemplate Template:Planetmath_reference.
- Polite_number wikiPageUsesTemplate Template:Reflist.
- Polite_number subject Category:Additive_number_theory.
- Polite_number subject Category:Figurate_numbers.
- Polite_number subject Category:Integer_sequences.
- Polite_number subject Category:Quadrilaterals.
- Polite_number subject Category:Recreational_mathematics.
- Polite_number hypernym Integer.
- Polite_number type Combinatoric.
- Polite_number type Field.
- Polite_number type Integer.
- Polite_number type Pattern.
- Polite_number comment "In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. Other positive integers are impolite.Polite numbers have also been called staircase numbers because the Young diagrams representing graphically the partitions of a polite number into consecutive integers (in the French style of drawing these diagrams) resemble staircases.".
- Polite_number label "Polite number".
- Polite_number sameAs m.0bfb8d.
- Polite_number sameAs Q7210138.
- Polite_number sameAs Q7210138.
- Polite_number wasDerivedFrom Polite_number?oldid=631939084.
- Polite_number depiction Young_456_French.svg.
- Polite_number isPrimaryTopicOf Polite_number.