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Triangle read by rows: coefficients of generating functions U_{1324567,n}(y).
0

%I #11 May 25 2018 05:21:05

%S -1,-1,1,-1,2,-1,-1,3,-3,1,-1,4,-6,4,-1,-1,5,-10,10,-5,1,-1,7,-15,20,

%T -15,6,-1,-1,9,-23,35,-35,21,-7,1,-1,11,-34,59,-70,56,-28,8,-1,-1,13,

%U -48,96,-130,126,-84,36,-9,1,-1,15,-65,150,-230,257,-210,120,-45,10,-1

%N Triangle read by rows: coefficients of generating functions U_{1324567,n}(y).

%C See Jones and Remmel for precise definition.

%H Miles Eli Jones, Jeffrey B. Remmel, <a href="http://arxiv.org/abs/1201.0142">A reciprocity method for computing generating functions over the set of permutations with no consecutive occurrence of tau</a> arXiv:1201.0142 [math.CO], 2011.

%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 -1,3,-3,1,

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

%e -1,5,-10,10,-5,1,

%e -1,7,-15,20,-15,6,-1,

%e -1,9,-23,35,-35,21,-7,1,

%e -1,11,-34,59,-70,56,-28,8,-1,

%e -1,13,-48,96,-130,126,-84,36,-9,1,

%e -1,15,-65,150,-230,257,-210,120,-45,10,-1,

%e ...

%K sign,tabl

%O 1,5

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