Number of Dyck paths of semilength n such that each positive level has exactly five peaks.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =0a(7) =0a(8) =0a(9) =0a(10) =0a(11) =6a(12) =84a(13) =336a(14) =504a(15) =252a(16) =0a(17) =36a(18) =1134a(19) =15960a(20) =130536a(21) =700560a(22) =2639952a(23) =7260840a(24) =14894712a(25) =23151996a(26) =29957760a(27) =60579792a(28) =319505760a(29) =1930565232