 A Survey of Alternating Permutations by Richard P. Stanley

By Richard P. Stanley. Preprint arXiv:0912.4240: arxiv.org/abs/0912.4240

Author-hosted text: math.mit.edu/~rstan/papers/altperm.pdf

§2, printed pages4–5, fixes the Entringer first-entry/down-up convention and its recurrence and triangular array.