%I #8 May 25 2018 05:20:58

%S -1,-1,1,-1,2,-1,-1,3,-3,1,-1,4,-6,4,-1,-1,6,-10,10,-5,1,-1,8,-17,20,

%T -15,6,-1,-1,10,-27,38,-35,21,-7,1,-1,12,-40,68,-74,56,-28,8,-1,-1,14,

%U -57,114,-146,131,-84,36,-9,1,-1,16,-78,182,-270,282,-216,120,-45,10,-1

%N Triangle read by rows: coefficients of generating functions U_{132456,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 -1,3,-3,1,

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

%e -1,6,-10,10,-5,1,

%e -1,8,-17,20,-15,6,-1,

%e -1,10,-27,38,-35,21,-7,1,

%e -1,12,-40,68,-74,56,-28,8,-1,

%e -1,14,-57,114,-146,131,-84,36,-9,1,

%e -1,16,-78,182,-270,282,-216,120,-45,10,-1,

%e ...

%K sign,tabl

%O 1,5

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