A372820 Table read by antidiagonals: T(m,n) = number of 4-metered (m,n)-parking functions.

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

Author

Spencer Daugherty, May 13 2024

Keywords

• nonn
• tabl

Examples

			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, ...
  ...
		

Links

• Spencer Daugherty, Pamela E. Harris, Ian Klein, and Matt McClinton, Metered Parking Functions, arXiv:2406.12941 [math.CO], 2024.

Crossrefs

Main diagonal is fourth column of A372816.

Cf. A372819, A372821, A005563.