A230858 Triangle read by rows: coefficients of generating functions U_{1324,n}(y).

-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, -19, 6, -1, -1, 12, -50, 85, -61, 26, -7, 1, -1, 14, -72, 166, -170, 94, -34, 8, -1, -1, 16, -98, 287, -412, 296, -136, 43, -9, 1, -1, 18, -128, 456, -854, 824, -473, 188, -53, 10, -1

Offset

1,5

Comments

See Jones and Remmel for precise definition.

Links

Table of n, a(n) for n=1..66.

Miles Eli Jones, Jeffrey B. Remmel, A reciprocity method for computing generating functions over the set of permutations with no consecutive occurrence of a permutation pattern, Discrete Math. 313 (2013), no. 23, 2712--2729. MR3106443.

Example

Triangle begins:
-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,-19,6,-1,
-1,12,-50,85,-61,26,-7,1,
-1,14,-72,166,-170,94,-34,8,-1,
-1,16,-98,287,-412,296,-136,43,-9,1,
-1,18,-128,456,-854,824,-473,188,-53,10,-1,
...

Crossrefs

Sequence in context: A368735 A026769 A257365 * A060098 A161492 A177976

Adjacent sequences: A230855 A230856 A230857 * A230859 A230860 A230861

Keyword

sign,tabl

Author

N. J. A. Sloane, Oct 31 2013

Status

approved