Number of sawtooth patterns of length 1 in all Dyck paths of semilength n.

Terms

a(0) =0a(1) =1a(2) =1a(3) =5a(4) =18a(5) =66a(6) =245a(7) =918a(8) =3465a(9) =13156a(10) =50193a(11) =192270a(12) =739024a(13) =2848860a(14) =11009778a(15) =42642460a(16) =165480975a(17) =643281480a(18) =2504501625a(19) =9764299710a(20) =38115568260a(21) =148955040300a(22) =582714871830