Permutations by number of rises and successions
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- by D. P. Roselle PDF
- Proc. Amer. Math. Soc. 19 (1968), 8-16 Request permission
References
- L. Carlitz, Eulerian numbers and polynomials, Math. Mag. 32 (1958/59), 247–260. MR 104845, DOI 10.2307/3029225 G. Frobenius, Über die Bernoullischen Zahlen und die Eulerschen Polynome, S.-B. Preuss. Akad. Wiss. (1910), 809-847. N. Nielsen, Traité élémentaire des nombres de Bernoulli, Paris, 1923.
- John Riordan, An introduction to combinatorial analysis, Wiley Publications in Mathematical Statistics, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0096594
- Heinrich Tietze, Über gewisse Umordnungen von Permutationen. IV. Wahrscheinlichkeitsfragen, S.-B. Math.-Nat. Abt. Bayer. Akad. Wiss. 1943 (1943), 281–293 (1944) (German). MR 17245 W. A. Whitworth, Choice and chance, Stechert, New York, 1943.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 8-16
- MSC: Primary 05.10
- DOI: https://doi.org/10.1090/S0002-9939-1968-0218256-9
- MathSciNet review: 0218256