Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) having only ascents of even length (an ascent is a maximal sequence of consecutive (1,1)-steps).
A191321
Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) having only ascents of even length (an ascent is a maximal sequence of consecutive (1,1)-steps).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =4a(7) =5a(8) =9a(9) =14a(10) =20a(11) =27a(12) =47a(13) =74a(14) =109a(15) =153a(16) =262a(17) =415a(18) =622a(19) =894a(20) =1516a(21) =2410a(22) =3653a(23) =5335a(24) =8988a(25) =14323a(26) =21883a(27) =32330a(28) =54213a(29) =86543
External references
- oeis: A191321