A243417 Number of Dyck paths of semilength n having exactly 5 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

1, 13, 109, 748, 4531, 25228, 132515, 667747, 3263146, 15576803, 72995158, 336986263, 1536565549, 6933515253, 31007787862, 137599702886, 606467289880, 2656919897648, 11577389890752, 50204031478108, 216750954307831, 932068704988570, 3993428974519241

Offset

12,2

Links

Alois P. Heinz, Table of n, a(n) for n = 12..550

Crossrefs

Column k=5 of A243366.

Sequence in context: A142040 A002648 A055840 * A367592 A163845 A075143

Adjacent sequences: A243414 A243415 A243416 * A243418 A243419 A243420

Keyword

nonn

Author

Alois P. Heinz, Jun 04 2014

Status

approved