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We give some interpretations to certain integer sequences in terms ofparameters on Grand-Dyck paths and coloured noncrossing partitions, and we findsome new bijections relating Grand-Dyck paths and signed pattern avoidingpermutations. Next we transfer a natural distributive lattice structure onGrand-Dyck paths to coloured noncrossing partitions and signed pattern avoidingpermutations, thus showing, in particular, that it is isomorphic to thestructure induced by the (strong) Bruhat order on a certain set of signedpattern avoiding permutations.

Some combinatorics related to central binomial coefficients: Grand-Dyck  paths, coloured noncrossing partitions and signed pattern avoiding  permutations