A243415 Number of Dyck paths of semilength n having exactly 3 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

1, 9, 54, 279, 1334, 6092, 27048, 117896, 507173, 2160151, 9128266, 38326830, 160063712, 665442560, 2755685897, 11372798741, 46794914849, 192029181971, 786126469079, 3211253947191, 13091799706905, 53277016211285, 216451122516387, 878040805034630

Offset

8,2

Links

Alois P. Heinz, Table of n, a(n) for n = 8..550

Crossrefs

Column k=3 of A243366.

Sequence in context: A022637 A001392 A188428 * A276602 A079764 A079761

Adjacent sequences: A243412 A243413 A243414 * A243416 A243417 A243418

Keyword

nonn

Author

Alois P. Heinz, Jun 04 2014

Status

approved