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
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 
@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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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/