Foata, D.; Schützenberger, M.-P. Théorie géométrique des polynômes eulériens. (French) Zbl 0214.26202 Lecture Notes in Mathematics. 138. Berlin-Heidelberg-New York: Springer-Verlag (1970). Reviewer: Rabe von Randow (Bonn) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 171 Documents MSC: 05-02 Research exposition (monographs, survey articles) pertaining to combinatorics 05A05 Permutations, words, matrices 05A15 Exact enumeration problems, generating functions 11B68 Bernoulli and Euler numbers and polynomials Keywords:Euler polynomials; geometric theory; generating functions Citations:Zbl 0209.34402 PDF BibTeX XML Full Text: DOI arXiv Online Encyclopedia of Integer Sequences: Triangle T(n,k) (n >= 1, 0 <= k <= floor((n-1)/2)) read by rows, where T(n,k) = (k+1)T(n-1,k) + (2n-4k)T(n-1,k-1). Triangle of 3-Eulerian numbers. Triangle of 4-Eulerian numbers. Triangle of 5-Eulerian numbers.