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A244888 Triangle of coefficients arising in study of up-down permutations. 1

%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 up-down 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 Up-down Patterns in Up-down 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

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Last modified June 14 00:35 EDT 2021. Contains 345016 sequences. (Running on oeis4.)