Number of Dyck paths of semilength n such that each level has exactly five peaks or no peaks.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =1a(7) =5a(8) =11a(9) =19a(10) =32a(11) =60a(12) =178a(13) =612a(14) =1910a(15) =6505a(16) =22097a(17) =62717a(18) =155341a(19) =365413a(20) =908850a(21) =2587326a(22) =8337462a(23) =28613490a(24) =99865122a(25) =341887279a(26) =1112148217a(27) =3385839203a(28) =9723179369a(29) =27116765041