Geodesic
Permutations avoiding runs of \(i\), \(i+1\), \(i+2\) or \(i\), \(i-1\), \(i-2\)
Journal of integer sequences, Tome 14 (2011) no. 1
Zbl
In this paper we examine permutations that avoid increasing or decreasing runs and extend known results to the circular and modular cases, allowing us to calculate sequence A078628 in Sloane's On-Line Encyclopedia of Integer Sequences.
Classification : 05A05, 05A15
Keywords: permutation, circular permutation, run, arithmetic progression 
Dymáček,  Wayne M.; Lambert,  Isaac. Permutations avoiding runs of \(i\), \(i+1\), \(i+2\) or \(i\), \(i-1\), \(i-2\). Journal of integer sequences, Tome 14 (2011) no. 1. http://geodesic.mathdoc.fr/item/JIS_2011__14_1_a3/
@article{JIS_2011__14_1_a3,
     author = {Dym\'a\v{c}ek,  Wayne M. and Lambert,  Isaac},
     title = {Permutations avoiding runs of \(i\), \(i+1\), \(i+2\) or \(i\), \(i-1\), \(i-2\)},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {1},
     zbl = {1298.05009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_1_a3/}
}
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