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- Q7696507 subject Q5519261.
- Q7696507 subject Q7012142.
- Q7696507 subject Q7020679.
- Q7696507 subject Q8442255.
- Q7696507 subject Q9245233.
- Q7696507 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).↑".
- Q7696507 thumbnail K4_matchings.svg?width=300.
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- Q7696507 wikiPageWikiLink Q7012142.
- Q7696507 wikiPageWikiLink Q7020679.
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- Q7696507 wikiPageWikiLink Q8442255.
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- Q7696507 wikiPageWikiLink Q860609.
- Q7696507 wikiPageWikiLink Q9245233.
- Q7696507 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.".
- Q7696507 label "Telephone number (mathematics)".
- Q7696507 depiction K4_matchings.svg.