A372819 Table read by antidiagonals: T(m,n) = number of 3-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, 257, 432, 196, 48, 8, 0, 0, 0, 540, 1686, 1029, 320, 63, 9, 0, 0, 0, 1200, 6253, 5367, 2048, 486, 80, 10, 0, 0, 0, 3000, 23228, 27629, 13076, 3645, 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 beings:
  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,  257,  1686,   5367,  13076, ...
  0, 0,  0,  540,  6253,  27629,  83069, ...
  0, 0,  0, 1200, 23228, 140599, 525594, ...
  ...

Crossrefs

Main diagonal is third row of A372816.

Cf. A372818, A372820, A372821, A005563.

Sequence in context: A087985 A200927 A372820 * A372818 A258817 A004557

Adjacent sequences: A372816 A372817 A372818 * A372820 A372821 A372822

Keyword

nonn,tabl

Author

Spencer Daugherty, May 13 2024

Status

approved