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A201162
Irregular triangle read by rows: number of rank 2 Catalan paths of length n and area k.
0
1, 1, 1, 1, 1, 3, 4, 3, 1, 1, 1, 3, 6, 9, 12, 15, 18, 19, 18, 12, 5, 1, 1, 1, 3, 6, 11, 16, 25, 35, 48, 62, 77, 93, 111, 124, 133, 134, 127, 111, 85, 53, 24, 7, 1
OFFSET
0,6
LINKS
Brian Drake, Limits of areas under lattice paths, Discrete Math. 309 (2009), no. 12, 3936-3953. See Section 5.
EXAMPLE
Triangle begins
1
1 1
1 1 3 4 3 1
1 1 3 6 9 12 15 18 19 18 12 5 1
1 1 3 6 11 16 25 35 48 62 77 93 111 124 133 134 127 111 85 53 24 7 1
...
CROSSREFS
Sequence in context: A078070 A254745 A111028 * A096646 A306234 A290057
KEYWORD
nonn,tabf,more
AUTHOR
N. J. A. Sloane, Nov 27 2011
STATUS
approved