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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =0a(10) =1a(11) =1a(12) =10a(13) =46a(14) =139a(15) =337a(16) =760a(17) =1672a(18) =3511a(19) =6904a(20) =12782a(21) =22627a(22) =39318a(23) =75538a(24) =207881a(25) =812507a(26) =3841220a(27) =20378041a(28) =105202200a(29) =477568717