OFFSET
0,3
COMMENTS
a(n+1) is the binomial transform of A192126.
REFERENCES
Juan B. Gil and Jordan O. Tirrell, A simple bijection for enhanced, classical, and 2-distant k-noncrossing partitions, Discrete Math. 343 (2020), no. 6, 111705, 5 pp.
LINKS
Juan B. Gil and Jordan O. Tirrell, A simple bijection for enhanced, classical, and 2-distant k-noncrossing partitions, arXiv:1806.09065 [math.CO], 2018-2023.
FORMULA
a(n+1) = Sum_{i=0..n} binomial(n,i)*A192126(i).
EXAMPLE
There are 678570 partitions of 11 elements, but a(11)=678569 because the partition (1,7)(2,8)(3,9)(4,10)(5,11)(6) has a 2-distant 5-crossing.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Juan B. Gil, Nov 13 2023
STATUS
approved