Poupard, Christiane Two other interpretations of the Entringer numbers. (English) Zbl 0886.05011 Eur. J. Comb. 18, No. 8, 939-943 (1997). Author’s summary: The Entringer’s integers were introduced to enumerate the down-up (or up-down) permutation according to the first term. In a previous paper these integers are shown to enumerate André’s trees according to two parameters. In this paper we prove that they enumerate the direct alternative permutations according to the absolute value of the first two terms and also according to a specified term. Reviewer: R.C.Entringer (Albuquerque) Cited in 1 ReviewCited in 8 Documents MSC: 05A15 Exact enumeration problems, generating functions 05A05 Permutations, words, matrices Keywords:Entringer numbers; permutation PDFBibTeX XMLCite \textit{C. Poupard}, Eur. J. Comb. 18, No. 8, 939--943 (1997; Zbl 0886.05011) Full Text: DOI Online Encyclopedia of Integer Sequences: Triangle of Euler-Bernoulli or Entringer numbers read by rows: T(n,k) is the number of down-up permutations of n+1 starting with k+1.