Sum of the abscissae of the first returns to the horizontal axis (assumed to be 0 if there are no such returns) in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights).
A191313
Sum of the abscissae of the first returns to the horizontal axis (assumed to be 0 if there are no such returns) in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights).
Terms
- a(0) =0a(1) =0a(2) =2a(3) =5a(4) =15a(5) =30a(6) =71a(7) =134a(8) =296a(9) =551a(10) =1188a(11) =2211a(12) =4720a(13) =8815a(14) =18722a(15) =35105a(16) =74307a(17) =139842a(18) =295223a(19) =557366a(20) =1174031a(21) =2222606a(22) =4672473a(23) =8866776a(24) =18607461a(25) =35384676a(26) =74139407a(27) =141248270a(28) =295524297a(29) =563959752
External references
- oeis: A191313