zbMATH — the first resource for mathematics

Tangent and secant numbers and representations of symmetric groups. (English) Zbl 0342.20005

20C30 Representations of finite symmetric groups
05A15 Exact enumeration problems, generating functions
Full Text: DOI
[1] Carlitz, I.; Scoville, R., Enumeration of rises and falls by position, Discrete math., 5, 45-59, (1973) · Zbl 0259.05008
[2] Comtet, L., Analyze combinatoire, (1970), P.U.F Paris
[3] Intringer, R.C., A combinatorial interpretation of the Euler and bemoulli numbers, Nieuw arch. wisk., 14, 241-246, (1966)
[4] Foulkes, H.O., Paths in ordered structures of partitions, Discrete math., 9, 365-374, (1974) · Zbl 0303.05011
[5] Foulkes, H.O., Enumeration of permutations with prescribed up-down and inversion sequences, 15, 235-252, (1976) · Zbl 0338.05002
[6] Knuth, D.E.; Buckholtz, T.J., Computation of tangent Euler and Bernoulli numbers, Math. comp., 21, 663-688, (1967) · Zbl 0178.04401
[7] Littlewood, D.E., Theory of group characters and matrix representations of groups, (1950), Oxford Univ. Press Oxford · Zbl 0038.16504
[8] Netto, E., Lehrbuch der combinatorik, (1901), Teubner Leipzig · JFM 32.0217.01
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.