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A372820
Table read by antidiagonals: T(m,n) = number of 4-metered (m,n)-parking functions
4
1, 0, 2, 0, 3, 3, 0, 0, 8, 4, 0, 0, 16, 15, 5, 0, 0, 0, 50, 24, 6, 0, 0, 0, 125, 108, 35, 7, 0, 0, 0, 0, 432, 196, 48, 8, 0, 0, 0, 0, 1296, 1029, 320, 63, 9, 0, 0, 0, 0, 3156, 4802, 2048, 486, 80, 10, 0, 0, 0, 0, 7734, 21858, 12288, 3645, 700, 99, 11
OFFSET
1,3
LINKS
Spencer Daugherty, Pamela E. Harris, Ian Klein, and Matt McClinton, Metered Parking Functions, arXiv:2406.12941 [math.CO], 2024.
EXAMPLE
Table begins:
1, 2, 3, 4, 5, 6, 7, ...
0, 3, 8, 15, 24, 35, 48, ...
0, 0, 16, 50, 108, 196, 320, ...
0, 0, 0, 125, 432, 1029, 2048, ...
0, 0, 0, 0, 1296, 4802, 12288, ...
0, 0, 0, 0, 3156, 21858, 73276, ...
0, 0, 0, 0, 7734, 93526, 430062, ...
...
CROSSREFS
Main diagonal is fourth column of A372816.
Sequence in context: A049799 A087985 A200927 * A372819 A372818 A258817
KEYWORD
nonn,tabl
AUTHOR
Spencer Daugherty, May 13 2024
STATUS
approved