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Revision History for A230860

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A230860

Triangle read by rows: coefficients of generating functions U_{132456,n}(y).
(history; published version)

#8 by Bruno Berselli at Fri May 25 05:20:58 EDT 2018

STATUS

reviewed

approved

#7 by Joerg Arndt at Fri May 25 05:01:49 EDT 2018

STATUS

proposed

reviewed

#6 by Michel Marcus at Fri May 25 04:54:25 EDT 2018

STATUS

editing

proposed

#5 by Michel Marcus at Fri May 25 04:54:16 EDT 2018

REFERENCES

Jones, Miles Eli; Remmel, Jeffrey B.; 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

LINKS

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.

STATUS

approved

editing

Discussion

Fri May 25

04:54

Michel Marcus: now open archive

#4 by N. J. A. Sloane at Thu Oct 31 19:59:38 EDT 2013

STATUS

editing

approved

#3 by N. J. A. Sloane at Thu Oct 31 19:59:35 EDT 2013

NAME

q

Triangle read by rows: coefficients of generating functions U_{132456,n}(y).

COMMENTS

See Jones and Remmel for precise definition.

REFERENCES

EXAMPLE

Triangle begins:

#2 by N. J. A. Sloane at Thu Oct 31 19:58:45 EDT 2013

NAME

allocated for N. J. A. Sloane

q

DATA

-1, -1, 1, -1, 2, -1, -1, 3, -3, 1, -1, 4, -6, 4, -1, -1, 6, -10, 10, -5, 1, -1, 8, -17, 20, -15, 6, -1, -1, 10, -27, 38, -35, 21, -7, 1, -1, 12, -40, 68, -74, 56, -28, 8, -1, -1, 14, -57, 114, -146, 131, -84, 36, -9, 1, -1, 16, -78, 182, -270, 282, -216, 120, -45, 10, -1

OFFSET

1,5

EXAMPLE

-1,

-1,1,

-1,2,-1,

-1,3,-3,1,

-1,4,-6,4,-1,

-1,6,-10,10,-5,1,

-1,8,-17,20,-15,6,-1,

-1,10,-27,38,-35,21,-7,1,

-1,12,-40,68,-74,56,-28,8,-1,

-1,14,-57,114,-146,131,-84,36,-9,1,

-1,16,-78,182,-270,282,-216,120,-45,10,-1,

...

KEYWORD

allocated

sign,tabl

AUTHOR

N. J. A. Sloane, Oct 31 2013

STATUS

approved

editing

#1 by N. J. A. Sloane at Thu Oct 31 11:20:52 EDT 2013

NAME

allocated for N. J. A. Sloane

KEYWORD

allocated

STATUS

approved