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A333331 Number of integer points in the convex hull in R^n of parking functions of length n. 0
1, 3, 17, 144, 1623, 22804, 383415, 7501422 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

R. P. Stanley (Proposer), Problem 12191, Amer. Math. Monthly, 127:6 (2020), 563.

LINKS

Table of n, a(n) for n=1..8.

EXAMPLE

For n=2 the parking functions are (1,1), (1,2), (2,1). They are the only integer points in their convex hull. For n=3, in addition to the 16 parking functions, there is the additional point (2,2,2).

CROSSREFS

Sequence in context: A087885 A178685 A268254 * A198860 A298691 A051442

Adjacent sequences:  A333328 A333329 A333330 * A333332 A333333 A333334

KEYWORD

nonn,more

AUTHOR

Richard Stanley, Mar 15 2020

STATUS

approved

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Last modified May 18 09:26 EDT 2021. Contains 343995 sequences. (Running on oeis4.)