Number of dispersed Dyck paths of length n (i.e., of Motzkin paths of length n with no (1,0)-steps at positive heights) having no base pyramids. A base pyramid is a factor of the form U^j D^j (j>0), starting at the horizontal axis. Here U=(1,1) and D=(1,-1).
A191393
Number of dispersed Dyck paths of length n (i.e., of Motzkin paths of length n with no (1,0)-steps at positive heights) having no base pyramids. A base pyramid is a factor of the form U^j D^j (j>0), starting at the horizontal axis. Here U=(1,1) and D=(1,-1).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =2a(7) =3a(8) =8a(9) =13a(10) =31a(11) =49a(12) =109a(13) =170a(14) =371a(15) =581a(16) =1270a(17) =2010a(18) =4417a(19) =7063a(20) =15581a(21) =25123a(22) =55554a(23) =90179a(24) =199752a(25) =326089a(26) =723351a(27) =1186670a(28) =2635764a(29) =4342829
External references
- oeis: A191393