Number of horizontal segments in all dispersed Dyck paths of length n (i.e., in all Motzkin paths of length n with no (1,0)-steps at positive heights; a horizontal segment is a maximal sequence of consecutive (1,0)-steps).
A191391
Number of horizontal segments in all dispersed Dyck paths of length n (i.e., in all Motzkin paths of length n with no (1,0)-steps at positive heights; a horizontal segment is a maximal sequence of consecutive (1,0)-steps).
Terms
- a(0) =0a(1) =1a(2) =1a(3) =3a(4) =5a(5) =12a(6) =22a(7) =49a(8) =93a(9) =200a(10) =386a(11) =814a(12) =1586a(13) =3304a(14) =6476a(15) =13381a(16) =26333a(17) =54096a(18) =106762a(19) =218386a(20) =431910a(21) =880616a(22) =1744436a(23) =3547658a(24) =7036530a(25) =14281072a(26) =28354132a(27) =57451164a(28) =114159428a(29) =230993296
External references
- oeis: A191391