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Triangle read by rows: coefficients of generating functions U_{13245,n}(y).
0

%I #10 May 25 2018 05:20:50

%S -1,-1,1,-1,2,-1,-1,3,-3,1,-1,5,-6,4,-1,-1,7,-12,10,-5,1,-1,9,-21,23,

%T -15,6,-1,-1,11,-34,47,-39,21,-7,1,-1,13,-51,88,-90,61,-28,8,-1,-1,15,

%U -72,153,-189,156,-90,36,-9,1,-1,17,-97,250,-368,361,-252,127,-45,10,-1

%N Triangle read by rows: coefficients of generating functions U_{13245,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 -1,5,-6,4,-1,

%e -1,7,-12,10,-5,1,

%e -1,9,-21,23,-15,6,-1,

%e -1,11,-34,47,-39,21,-7,1,

%e -1,13,-51,88,-90,61,-28,8,-1,

%e -1,15,-72,153,-189,156,-90,36,-9,1,

%e -1,17,-97,250,-368,361,-252,127,-45,10,-1,

%e ...

%K sign,tabl

%O 1,5

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