Geodesic
Permutations which are the union of an increasing and a decreasing subsequence
The electronic journal of combinatorics, Tome 5 (1998)
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It is shown that there are ${2n\choose n}-\sum_{m=0}^{n-1}2^{n-m-1}{2m\choose m}$ permutations which are the union of an increasing sequence and a decreasing sequence.
DOI : 10.37236/1344
Classification : 05A15
Mots-clés : permutations, sequences 
@article{10_37236_1344,
     author = {M. D. Atkinson},
     title = {Permutations which are the union of an increasing and a decreasing subsequence},
     journal = {The electronic journal of combinatorics},
     year = {1998},
     volume = {5},
     doi = {10.37236/1344},
     zbl = {0885.05011},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1344/}
}
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%T Permutations which are the union of an increasing and a decreasing subsequence
%J The electronic journal of combinatorics
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M. D. Atkinson. Permutations which are the union of an increasing and a decreasing subsequence. The electronic journal of combinatorics, Tome 5 (1998). doi: 10.37236/1344

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