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 | 4 1
2 | 26 12 3
3 | 204 136 64 16
4 | 1771 1540 1050 500 125
...
MATHEMATICA
T[r_, i_, k_] := (r + 1)^(i-1)*Binomial[k*(r + 1) + r - i - 1, r - i]; Flatten[Table[T[r, i, 4, {r, 0, 8}, {i, 0, r}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Stefano Spezia, Nov 03 2019
STATUS
approved