# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a341372 Showing 1-1 of 1 %I A341372 #4 Feb 10 2021 13:52:55 %S A341372 2,2,1,3,2,1,3,4,4,1,4,5,11,4,1,2,10,21,14,6,1,6,10,44,34,24,6,1,5,17, %T A341372 67,83,74,27,8,2,4,17,119,162,212,92,44,11,1 %N A341372 Regular triangle read by rows, T(n, k) is the number of cycles of length 2*k-1 of the permutation gamma on Dn, the set of Dyck words of length n, for n>=2 and 1<=k<=n-1. %C A341372 See the link for a description of the gamma permutation. %H A341372 Marilena Barnabei, Flavio Bonetti, Niccolò Castronuovo, and Robert Cori, Some permutations on Dyck words, Theoretical Computer Science, Volume 635, 4 July 2016, Pages 51-63. %e A341372 Triangle begins: %e A341372 2; %e A341372 2, 1; %e A341372 3, 2, 1; %e A341372 3, 4, 4, 1; %e A341372 4, 5, 11, 4, 1; %e A341372 2, 10, 21, 14, 6, 1; %e A341372 6, 10, 44, 34, 24, 6, 1; %e A341372 5, 17, 67, 83, 74, 27, 8, 2; %e A341372 4, 17, 119, 162, 212, 92, 44, 11, 1; %e A341372 ... %K A341372 nonn,tabl,more %O A341372 2,1 %A A341372 _Michel Marcus_, Feb 10 2021 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE