1045200domain: NAppears in sequencesNumber of Dyck paths of semilength n having exactly three (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).at n=10A243772Expansion of e.g.f. Product_{k>=1} 1 / (1 - sinh(x^k)).at n=8A330515