A372818 Table read by antidiagonals: T(m,n) = number of 2-metered (m,n)-parking functions

1, 0, 2, 0, 3, 3, 0, 0, 8, 4, 0, 0, 16, 15, 5, 0, 0, 27, 50, 24, 6, 0, 0, 48, 163, 108, 35, 7, 0, 0, 96, 514, 483, 196, 48, 8, 0, 0, 162, 1665, 2142, 1095, 320, 63, 9, 0, 0, 288, 5411, 9496, 6098, 2131, 486, 80, 10, 0, 0, 576, 17398, 42196, 33961, 14170, 3747, 700, 99, 11

Offset

1,3

Links

Table of n, a(n) for n=1..66.

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,  27,  163,   483,   1095,   2131, ...
  0, 0,  48,  514,  2142,   6098,  14170, ...
  0, 0,  96, 1665,  9496,  33961,  94228, ...
  0, 0, 162, 5411, 42196, 189100, 626569, ...
  ...

Crossrefs

Main diagonal is second row of A372816.

Cf. A372817, A372819, A005563, A372821.

Sequence in context: A200927 A372820 A372819 * A258817 A004557 A088276

Adjacent sequences: A372815 A372816 A372817 * A372819 A372820 A372821

Keyword

nonn,tabl

Author

Spencer Daugherty, May 13 2024

Status

approved