Geodesic
Permutations Related to Secant, Tangent and Eulerian Numbers
Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 281-291

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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. 
Abramson, Morton. Permutations Related to Secant, Tangent and Eulerian Numbers. Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 281-291. doi: 10.4153/CMB-1979-034-9
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     title = {Permutations {Related} to {Secant,} {Tangent} and {Eulerian} {Numbers}},
     journal = {Canadian mathematical bulletin},
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     year = {1979},
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     number = {3},
     doi = {10.4153/CMB-1979-034-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-034-9/}
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