A230861 Triangle read by rows: coefficients of generating functions U_{1324567,n}(y).

-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, -15, 6, -1, -1, 9, -23, 35, -35, 21, -7, 1, -1, 11, -34, 59, -70, 56, -28, 8, -1, -1, 13, -48, 96, -130, 126, -84, 36, -9, 1, -1, 15, -65, 150, -230, 257, -210, 120, -45, 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 tau arXiv:1201.0142 [math.CO], 2011.

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,
-1,3,-3,1,
-1,4,-6,4,-1,
-1,5,-10,10,-5,1,
-1,7,-15,20,-15,6,-1,
-1,9,-23,35,-35,21,-7,1,
-1,11,-34,59,-70,56,-28,8,-1,
-1,13,-48,96,-130,126,-84,36,-9,1,
-1,15,-65,150,-230,257,-210,120,-45,10,-1,
...

Crossrefs

Sequence in context: A329052 A076831 A197061 * A119724 A162424 A302998

Adjacent sequences: A230858 A230859 A230860 * A230862 A230863 A230864

Keyword

sign,tabl

Author

N. J. A. Sloane, Oct 31 2013

Status

approved