Sum of the heights of all dispersed Dyck paths of length n (i.e., of Motzkin paths of length n with no (1,0) steps at positive heights).

A191315

Sum of the heights of all dispersed Dyck paths of length n (i.e., of Motzkin paths of length n with no (1,0) steps at positive heights).

Terms

    a(0) =0a(1) =0a(2) =1a(3) =2a(4) =6a(5) =11a(6) =27a(7) =50a(8) =115a(9) =216a(10) =481a(11) =913a(12) =1992a(13) =3809a(14) =8192a(15) =15748a(16) =33512a(17) =64685a(18) =136546a(19) =264422a(20) =554686a(21) =1077055a(22) =2248105a(23) =4375221a(24) =9095238a(25) =17735812a(26) =36745504a(27) =71776633a(28) =148288346a(29) =290092160

External references