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Alternating permutation

In combinatorial mathematics, an alternating permutation (or zigzag permutation) of the set {1, 2, 3, ..., n} is a permutation (arrangement) of those numbers so that each entry is alternately greater or less than the preceding entry. For example, the five alternating permutations of {1, 2, 3, 4} are:

André's theorem, Seidel's Algorithm & Related sequences

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Definitions

André's theorem

Seidel's Algorithm

Related sequences

Explicit formula in terms of Stirling numbers of the second kind

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Alternating permutation

Nodes41
Edges40
Triples21
Avg. degree1.95
Density0.04878
Components1

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Alternating permutation

Top relations

related to External links · 12
Alternating permutation → Alternating Permutations, An, An Explicit Formula, Eric, Euler, MathWorld, Richard, Ross Tang, Stanley, Survey, Up/down, Weisstein
related to André's theorem · 8
Alternating permutation → A000111, An, André's, Catalan, Euler, OEIS, The, These
see also · 1
Alternating permutation → Longest

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Important terminology

oeis first alternating numbers permutations permutation euler zigzag entry sequence set number second andré's tangent values algorithm secant odd 16

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Alternating permutationrelated to André's theoremThe0.60section
Alternating permutationrelated to André's theoremAn0.60section
Alternating permutationrelated to André's theoremAndré's0.60section
Alternating permutationrelated to André's theoremEuler0.60section
Alternating permutationrelated to André's theoremA0001110.60section
Alternating permutationrelated to André's theoremOEIS0.60section
Alternating permutationrelated to André's theoremThese0.60section
Alternating permutationrelated to André's theoremCatalan0.60section
Alternating permutationrelated to External linksWeisstein0.60section
Alternating permutationrelated to External linksEric0.60section
Alternating permutationrelated to External linksMathWorld0.60section
Alternating permutationrelated to External linksRoss Tang0.60section

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