Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) with no initial and no final (1,0)-steps.

A191529

Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) with no initial and no final (1,0)-steps.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =2a(5) =1a(6) =6a(7) =5a(8) =20a(9) =21a(10) =70a(11) =84a(12) =252a(13) =330a(14) =924a(15) =1287a(16) =3432a(17) =5005a(18) =12870a(19) =19448a(20) =48620a(21) =75582a(22) =184756a(23) =293930a(24) =705432a(25) =1144066a(26) =2704156a(27) =4457400a(28) =10400600a(29) =17383860

External references