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- Telephone_number_(mathematics) abstract "In mathematics, the telephone numbers or involution numbers are a sequence of integers that count the number of connection patterns in a telephone system with n subscribers, where connections are made between pairs of subscribers. These numbers also describe the number of matchings (the Hosoya index) of a complete graph on n vertices, the number of permutations on n elements that are involutions, the sum of absolute values of coefficients of the Hermite polynomials, the number of standard Young tableaux with n cells, and the sum of the degrees of the irreducible representations of the symmetric group. Involution numbers were first studied in 1800 by Heinrich August Rothe, who gave a recurrence equation by which they may be calculated, giving the values (starting from n = 0)1, 1, 2, 4, 10, 26, 76, 232, 764, 2620, 9496, ... (sequence A000085 in OEIS).↑".
- Telephone_number_(mathematics) thumbnail K4_matchings.svg?width=300.
- Telephone_number_(mathematics) wikiPageID "35258497".
- Telephone_number_(mathematics) wikiPageLength "14538".
- Telephone_number_(mathematics) wikiPageOutDegree "56".
- Telephone_number_(mathematics) wikiPageRevisionID "693006744".
- Telephone_number_(mathematics) wikiPageWikiLink Asymptotic_analysis.
- Telephone_number_(mathematics) wikiPageWikiLink Binomial_coefficient.
- Telephone_number_(mathematics) wikiPageWikiLink Category:Enumerative_combinatorics.
- Telephone_number_(mathematics) wikiPageWikiLink Category:Factorial_and_binomial_topics.
- Telephone_number_(mathematics) wikiPageWikiLink Category:Integer_sequences.
- Telephone_number_(mathematics) wikiPageWikiLink Category:Matching.
- Telephone_number_(mathematics) wikiPageWikiLink Category:Permutations.
- Telephone_number_(mathematics) wikiPageWikiLink Chemical_graph_theory.
- Telephone_number_(mathematics) wikiPageWikiLink Chessboard.
- Telephone_number_(mathematics) wikiPageWikiLink Complete_graph.
- Telephone_number_(mathematics) wikiPageWikiLink Cycle_detection.
- Telephone_number_(mathematics) wikiPageWikiLink Double_factorial.
- Telephone_number_(mathematics) wikiPageWikiLink Eight_queens_puzzle.
- Telephone_number_(mathematics) wikiPageWikiLink Enumerative_combinatorics.
- Telephone_number_(mathematics) wikiPageWikiLink Generating_function.
- Telephone_number_(mathematics) wikiPageWikiLink Graph_theory.
- Telephone_number_(mathematics) wikiPageWikiLink Heinrich_August_Rothe.
- Telephone_number_(mathematics) wikiPageWikiLink Hermite_polynomials.
- Telephone_number_(mathematics) wikiPageWikiLink Hosoya_index.
- Telephone_number_(mathematics) wikiPageWikiLink Integer_factorization.
- Telephone_number_(mathematics) wikiPageWikiLink Integer_sequence.
- Telephone_number_(mathematics) wikiPageWikiLink Involution_(mathematics).
- Telephone_number_(mathematics) wikiPageWikiLink Irreducible_representation.
- Telephone_number_(mathematics) wikiPageWikiLink John_Riordan_(mathematician).
- Telephone_number_(mathematics) wikiPageWikiLink Matching_(graph_theory).
- Telephone_number_(mathematics) wikiPageWikiLink Matching_polynomial.
- Telephone_number_(mathematics) wikiPageWikiLink Mathematical_chess_problem.
- Telephone_number_(mathematics) wikiPageWikiLink Mathematics.
- Telephone_number_(mathematics) wikiPageWikiLink P-adic_order.
- Telephone_number_(mathematics) wikiPageWikiLink Partition_(number_theory).
- Telephone_number_(mathematics) wikiPageWikiLink Permutation.
- Telephone_number_(mathematics) wikiPageWikiLink Polyomino.
- Telephone_number_(mathematics) wikiPageWikiLink Power_of_two.
- Telephone_number_(mathematics) wikiPageWikiLink Pólya_enumeration_theorem.
- Telephone_number_(mathematics) wikiPageWikiLink Recurrence_relation.
- Telephone_number_(mathematics) wikiPageWikiLink Representation_theory.
- Telephone_number_(mathematics) wikiPageWikiLink Robinson–Schensted_correspondence.
- Telephone_number_(mathematics) wikiPageWikiLink Stirlings_approximation.
- Telephone_number_(mathematics) wikiPageWikiLink Summation.
- Telephone_number_(mathematics) wikiPageWikiLink Symmetric_group.
- Telephone_number_(mathematics) wikiPageWikiLink Taylor_series.
- Telephone_number_(mathematics) wikiPageWikiLink Young_tableau.
- Telephone_number_(mathematics) wikiPageWikiLink File:K4_matchings.svg.
- Telephone_number_(mathematics) wikiPageWikiLink File:Young_tableaux_for_541_partition.svg.
- Telephone_number_(mathematics) wikiPageWikiLinkText "Telephone number (mathematics)".
- Telephone_number_(mathematics) wikiPageWikiLinkText "Telephone number".
- Telephone_number_(mathematics) wikiPageWikiLinkText "telephone number".
- Telephone_number_(mathematics) wikiPageWikiLinkText "telephone numbers".
- Telephone_number_(mathematics) wikiPageUsesTemplate Template:Chess_diagram.
- Telephone_number_(mathematics) wikiPageUsesTemplate Template:Math.
- Telephone_number_(mathematics) wikiPageUsesTemplate Template:Mvar.
- Telephone_number_(mathematics) wikiPageUsesTemplate Template:OEIS.
- Telephone_number_(mathematics) wikiPageUsesTemplate Template:Reflist.
- Telephone_number_(mathematics) subject Category:Enumerative_combinatorics.
- Telephone_number_(mathematics) subject Category:Factorial_and_binomial_topics.
- Telephone_number_(mathematics) subject Category:Integer_sequences.
- Telephone_number_(mathematics) subject Category:Matching.
- Telephone_number_(mathematics) subject Category:Permutations.
- Telephone_number_(mathematics) hypernym Sequence.
- Telephone_number_(mathematics) type Combinatoric.
- Telephone_number_(mathematics) type Function.
- Telephone_number_(mathematics) type Integer.
- Telephone_number_(mathematics) type Redirect.
- Telephone_number_(mathematics) comment "In mathematics, the telephone numbers or involution numbers are a sequence of integers that count the number of connection patterns in a telephone system with n subscribers, where connections are made between pairs of subscribers.".
- Telephone_number_(mathematics) label "Telephone number (mathematics)".
- Telephone_number_(mathematics) sameAs Q7696507.
- Telephone_number_(mathematics) sameAs m.0j7ksz9.
- Telephone_number_(mathematics) sameAs Q7696507.
- Telephone_number_(mathematics) wasDerivedFrom Telephone_number_(mathematics)?oldid=693006744.
- Telephone_number_(mathematics) depiction K4_matchings.svg.
- Telephone_number_(mathematics) isPrimaryTopicOf Telephone_number_(mathematics).