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.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Dym\'a\v{c}ek, Wayne M. and Lambert, Isaac},
     title = {Permutations avoiding runs of $i, i+1, i+2$ or $i, i-1, i-2$},
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     publisher = {mathdoc},
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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/