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A193617
Maximum cardinality of a subset of Dyck n-paths p that share both the same area and the same maj(beta(p)) statistic.
0
0, 1, 1, 1, 1, 2, 4, 8, 18, 43, 107, 282, 771, 2167, 6241, 18421, 55309, 168845, 524728, 1649764
OFFSET
0,6
COMMENTS
The maj(beta(p)) statistic is the major index of the "billiard ball" path under p.
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
Sequence in context: A318850 A052327 A059221 * A233139 A308246 A114203
KEYWORD
nonn
AUTHOR
David Scambler, Jul 31 2011
STATUS
approved