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Permutations Related to Secant, Tangent and Eulerian Numbers
Published online by Cambridge University Press: 20 November 2018
Extract
It is well known that
1
where An denotes the number of "up-down" or alternating permutations
2
of 1, 2, …, n. The numbers A2n and A2n+1 are known as the secant and tangent numbers respectively and A2n = (—l)"E2n, where En is the Euler number.
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- Copyright © Canadian Mathematical Society 1979
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