Sum of lengths of initial and final horizontal segments over all dispersed Dyck paths of semilength n (i.e., over all Motzkin paths of length n with no (1,0)-steps at positive heights).
A191531
Sum of lengths of initial and final horizontal segments over all dispersed Dyck paths of semilength n (i.e., over all Motzkin paths of length n with no (1,0)-steps at positive heights).
Terms
- a(0) =0a(1) =1a(2) =2a(3) =5a(4) =10a(5) =21a(6) =40a(7) =79a(8) =148a(9) =287a(10) =538a(11) =1041a(12) =1964a(13) =3811a(14) =7242a(15) =14105a(16) =26974a(17) =52713a(18) =101332a(19) =198571a(20) =383326a(21) =752837a(22) =1458268a(23) =2869131a(24) =5573286a(25) =10981597a(26) =21382196a(27) =42183395a(28) =82299994a(29) =162533193
External references
- oeis: A191531