A243416 - OEIS

A243416

Number of Dyck paths of semilength n having exactly 4 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

%I #4 Jun 04 2014 18:16:19

%S 1,11,79,474,2561,12937,62524,293146,1344602,6065734,27007870,

%T 118984043,519589872,2252141576,9699519424,41541816291,177048628294,

%U 751293699026,3175665502731,13376228005419,56162636663430,235124074987923,981718571224412,4088916793922566

%N Number of Dyck paths of semilength n having exactly 4 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

%H Alois P. Heinz, <a href="/A243416/b243416.txt">Table of n, a(n) for n = 10..550</a>

%Y Column k=4 of A243366.

%K nonn

%O 10,2

%A _Alois P. Heinz_, Jun 04 2014