A372816 Table read by antidiagonals: T(t,n) = number of t-metered parking functions of length n.

1, 1, 3, 1, 3, 21, 1, 3, 16, 209, 1, 3, 16, 163, 2640, 1, 3, 16, 125, 2142, 40391, 1, 3, 16, 125, 1686, 33961, 726103, 1, 3, 16, 125, 1296, 27629, 626569, 15003009, 1, 3, 16, 125, 1296, 21858, 525594, 13198604, 350382231

Offset: 1

Author

Spencer Daugherty, May 13 2024

Keywords

• nonn
• tabl
• more

Examples

			Table begins:
  1, 3, 21, 209, 2640, 40391, 726103, ...
  1, 3, 16, 163, 2142, 33961, 626569, ...
  1, 3, 16, 125, 1686, 27629, 525594, ...
  1, 3, 16, 125, 1296, 21858, 430062, ...
  1, 3, 16, 125, 1296, 16807, 341192, ...
  1, 3, 16, 125, 1296, 16807, 262144, ...
  ...
		

Links

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

Crossrefs

First row is A097690 and main diagonal of A372817.

Second, third and fourth rows are main diagonals of A372818, A372819, and A372820.

Cf. A372821, A000272.