Counting Dyck paths of height at most h with no k-1 consecutive valleys at height h-1 yields a previously unrecorded identity for Catalan numbers.
Deutsch, Dyck path enumeration,Discrete Math.204(1999), 167–222
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An Identity for Catalan Numbers via Restricted Dyck Paths
Counting Dyck paths of height at most h with no k-1 consecutive valleys at height h-1 yields a previously unrecorded identity for Catalan numbers.