Finite difference calculus for alternating permutations
Copyright policy )Finite difference calculus for alternating permutations
The finite difference equation system introduced by Christiane Poupard in the study of tangent trees is reinterpreted in the alternating permutation environment. It makes it possible to make a joint study of both tangent and secant trees and calculate the generating polynomial for alternating permutations by a new statistic, referred to as being the greater neighbor of the maximum.
strictly ordered binary trees, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Poupard triangle, secant numbers, difference equation system, alternating permutations, FOS: Mathematics, Mathematics - Combinatorics, tangent numbers, Combinatorics (math.CO)
strictly ordered binary trees, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Poupard triangle, secant numbers, difference equation system, alternating permutations, FOS: Mathematics, Mathematics - Combinatorics, tangent numbers, Combinatorics (math.CO)
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