

A230861


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


0



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
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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, 27122729. 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



