Number of peaks at height >= 2 in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights).

A191309

Number of peaks at height >= 2 in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights).

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =2a(6) =8a(7) =16a(8) =47a(9) =94a(10) =244a(11) =488a(12) =1186a(13) =2372a(14) =5536a(15) =11072a(16) =25147a(17) =50294a(18) =112028a(19) =224056a(20) =491870a(21) =983740a(22) =2135440a(23) =4270880a(24) =9188406a(25) =18376812a(26) =39249768a(27) =78499536a(28) =166656772a(29) =333313544

External references