%I
%S 1,2,1,6,6,1,23,36,15,1,106,229,160,37,1,567,1574,1566,650,
%T 93,1,3434,11706,15248,9310,2572,238,1,23137,93831,151933,
%U 123814,52136,10175,616,1
%N Triangle of coefficients arising in study of updown permutations.
%C See Remmel (2014) for precise definition.
%H Jeffrey B. Remmel, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i3p2">Consecutive Updown Patterns in Updown Permutations</a>, Electron. J. Combin., 21 (2014), #P3.2. See p. 25.
%e Triangle begins:
%e 1;
%e 2, 1;
%e 6, 6, 1;
%e 23, 36, 15, 1;
%e 106, 229, 160, 37, 1;
%e 567, 1574, 1566, 650, 93, 1;
%e 3434, 11706, 15248, 9310, 2572, 238, 1;
%e 23137, 93831, 151933, 123814, 52136, 10175, 616, 1;
%e ...
%Y First two columns are A125273 and A244889.
%K sign,tabl
%O 1,2
%A _N. J. A. Sloane_, Jul 12 2014
