OFFSET
0,2
COMMENTS
The k-parking numbers interpolate between the generalized Fuss-Catalan numbers and the number of parking functions (see Yip).
LINKS
Stefano Spezia, First 151 rows of the triangle, flattened
Martha Yip, A Fuss-Catalan variation of the caracol flow polytope, arXiv:1910.10060 [math.CO], 2019.
FORMULA
EXAMPLE
r/i| 0 1 2 3 4
————————————————————————
0 | 1
1 | 2 1
2 | 7 6 3
3 | 30 36 32 16
4 | 143 220 275 250 125
MATHEMATICA
T[r_, i_, k_] := (r + 1)^(i-1)*Binomial[k*(r + 1) + r - i - 1, r - i]; Flatten[Table[T[r, i, 2], {r, 0, 9}, {i, 0, r}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Stefano Spezia, Nov 02 2019
STATUS
approved