A230859 Triangle read by rows: coefficients of generating functions U_{13245,n}(y).

-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, -15, 6, -1, -1, 11, -34, 47, -39, 21, -7, 1, -1, 13, -51, 88, -90, 61, -28, 8, -1, -1, 15, -72, 153, -189, 156, -90, 36, -9, 1, -1, 17, -97, 250, -368, 361, -252, 127, -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 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,
-1,5,-6,4,-1,
-1,7,-12,10,-5,1,
-1,9,-21,23,-15,6,-1,
-1,11,-34,47,-39,21,-7,1,
-1,13,-51,88,-90,61,-28,8,-1,
-1,15,-72,153,-189,156,-90,36,-9,1,
-1,17,-97,250,-368,361,-252,127,-45,10,-1,
...

Crossrefs

Sequence in context: A220614 A154221 A026736 * A213086 A050446 A214868

Adjacent sequences: A230856 A230857 A230858 * A230860 A230861 A230862

Keyword

sign,tabl

Author

N. J. A. Sloane, Oct 31 2013

Status

approved