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Triangle read by rows: coefficients of generating functions U_{1324,n}(y).
0

%I #9 May 25 2018 05:21:13

%S -1,-1,1,-1,2,-1,-1,4,-3,1,-1,6,-8,4,-1,-1,8,-18,13,-5,1,-1,10,-32,36,

%T -19,6,-1,-1,12,-50,85,-61,26,-7,1,-1,14,-72,166,-170,94,-34,8,-1,-1,

%U 16,-98,287,-412,296,-136,43,-9,1,-1,18,-128,456,-854,824,-473,188,-53,10,-1

%N Triangle read by rows: coefficients of generating functions U_{1324,n}(y).

%C See Jones and Remmel for precise definition.

%H Miles Eli Jones, Jeffrey B. Remmel, <a href="https://doi.org/10.1016/j.disc.2013.08.010">A reciprocity method for computing generating functions over the set of permutations with no consecutive occurrence of a permutation pattern</a>, Discrete Math. 313 (2013), no. 23, 2712--2729. MR3106443.

%e Triangle begins:

%e -1,

%e -1,1,

%e -1,2,-1,

%e -1,4,-3,1,

%e -1,6,-8,4,-1,

%e -1,8,-18,13,-5,1,

%e -1,10,-32,36,-19,6,-1,

%e -1,12,-50,85,-61,26,-7,1,

%e -1,14,-72,166,-170,94,-34,8,-1,

%e -1,16,-98,287,-412,296,-136,43,-9,1,

%e -1,18,-128,456,-854,824,-473,188,-53,10,-1,

%e ...

%K sign,tabl

%O 1,5

%A _N. J. A. Sloane_, Oct 31 2013