A243774 Number of Dyck paths of semilength n having exactly five (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

1, 0, 0, 244, 1, 246, 379, 0, 179790, 0, 5096, 1721037, 1595288, 3992352, 455454822, 842632268, 63280332, 4243256192, 50749141182, 109671572304, 614565138768, 2580550363440, 2759439518892, 4369338844416, 474848703434955, 110506726968, 50798936389648

Offset

7,4

Links

Alois P. Heinz, Table of n, a(n) for n = 7..200

Example

a(7) = 1: UUUUUUUDDDDDDD.
a(11) = 1: UDUUDUUDUUDUUDUUDDDDDD.

Crossrefs

Column k=5 of A243752.

Main diagonal of A243831.

Sequence in context: A151638 A352033 A248137 * A051002 A044987 A201998

Adjacent sequences: A243771 A243772 A243773 * A243775 A243776 A243777

Keyword

nonn

Author

Alois P. Heinz, Jun 10 2014

Status

approved