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

A191319

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

Terms

    a(0) =0a(1) =0a(2) =1a(3) =2a(4) =7a(5) =14a(6) =37a(7) =74a(8) =177a(9) =354a(10) =807a(11) =1614a(12) =3579a(13) =7158a(14) =15591a(15) =31182a(16) =67071a(17) =134142a(18) =285861a(19) =571722a(20) =1209641a(21) =2419282a(22) =5089517a(23) =10179034a(24) =21314453a(25) =42628906a(26) =88918353a(27) =177836706a(28) =369734553a(29) =739469106

External references