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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) wikiPageRevisionID "599247313".
- Telephone_number_(mathematics) hasPhotoCollection Telephone_number_(mathematics).
- 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) type Abstraction100002137.
- Telephone_number_(mathematics) type Arrangement107938773.
- Telephone_number_(mathematics) type Change107296428.
- Telephone_number_(mathematics) type Event100029378.
- Telephone_number_(mathematics) type Group100031264.
- Telephone_number_(mathematics) type Happening107283608.
- Telephone_number_(mathematics) type IntegerSequences.
- Telephone_number_(mathematics) type Ordering108456993.
- Telephone_number_(mathematics) type Permutations.
- Telephone_number_(mathematics) type PsychologicalFeature100023100.
- Telephone_number_(mathematics) type Sequence108459252.
- Telephone_number_(mathematics) type Series108457976.
- Telephone_number_(mathematics) type Substitution107443761.
- Telephone_number_(mathematics) type Variation107337390.
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- 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)".
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- Telephone_number_(mathematics) sameAs Q7696507.
- Telephone_number_(mathematics) sameAs Q7696507.
- Telephone_number_(mathematics) sameAs Telephone_number_(mathematics).
- Telephone_number_(mathematics) wasDerivedFrom Telephone_number_(mathematics)?oldid=599247313.
- Telephone_number_(mathematics) depiction K4_matchings.svg.
- Telephone_number_(mathematics) isPrimaryTopicOf Telephone_number_(mathematics).