OFFSET
0,6
COMMENTS
The maj(beta(p)) statistic is the major index of the "billiard ball" path under p.
LINKS
Jason Bandlow and Kendra Killpatrick, An Area-to-Inv Bijection Between Dyck Paths and 312-avoiding Permutations
EXAMPLE
For n=8 there are 18 paths with area = 9 and maj(beta(p)) = 10 (and vice versa). No other conforming subset of Dyck 8-paths has greater cardinality.
CROSSREFS
KEYWORD
nonn
AUTHOR
David Scambler, Jul 31 2011
STATUS
approved