Number of Dyck paths of semilength n such that no positive level has fewer than five peaks.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =1a(7) =1a(8) =1a(9) =1a(10) =1a(11) =7a(12) =98a(13) =575a(14) =2009a(15) =5468a(16) =13365a(17) =30910a(18) =70156a(19) =170830a(20) =531334a(21) =2203895a(22) =10091063a(23) =44034478a(24) =176213307a(25) =650957418a(26) =2258314543a(27) =7491190627a(28) =24204620623a(29) =77794583961