A243777 Number of Dyck paths of semilength n having exactly eight (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, 0, 0, 3780, 0, 0, 46, 20, 0, 16356705, 910111, 0, 1430, 45077670, 755820, 518221227, 101454300, 1479060, 0, 43816171893552, 0, 420732, 54663267285, 583180547204, 181720848039484, 60770152697265, 2020797438130380, 52163677215449, 31943272670595

Offset

10,6

Links

Alois P. Heinz, Table of n, a(n) for n = 10..200

Example

a(10) = 1: UUDUDUDUDUDUDUDUDUDD.

Crossrefs

Column k=8 of A243752.

Main diagonal of A243834.

Sequence in context: A364766 A080953 A178193 * A135200 A348148 A186953

Adjacent sequences: A243774 A243775 A243776 * A243778 A243779 A243780

Keyword

nonn

Author

Alois P. Heinz, Jun 10 2014

Status

approved