A243775 - OEIS

A243775

Number of Dyck paths of semilength n having exactly six (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).

64, 0, 1, 1, 0, 58310, 0, 0, 169352, 82494, 40040, 163083704, 140035157, 306726, 178134488, 7368664408, 6899287752, 86343111918, 221762412480, 89389210680, 45967495392, 229706136771072, 18828656, 987116153856, 88775675895264, 303516229481536, 10355664669739531

(list; graph; refs; listen; history; text; internal format)

OFFSET

10,1

LINKS

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

EXAMPLE

a(12) = 1: UUDDUUDDUUDDUUDDUUDDUUDD.

a(13) = 1: UUDUUDUUDUUDUUDUUDUDDDDDDD.

CROSSREFS

Column k=6 of A243752.

Main diagonal of A243832.

Sequence in context: A094496 A010112 A058963 * A066608 A247067 A221761

Adjacent sequences: A243772 A243773 A243774 * A243776 A243777 A243778

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 10 2014

STATUS

approved