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

1,3

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,  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.

Cf. A372819, A372821, A005563.

Sequence in context: A049799 A087985 A200927 * A372819 A372818 A258817

Adjacent sequences: A372817 A372818 A372819 * A372821 A372822 A372823

Keyword

nonn,tabl

Author

Spencer Daugherty, May 13 2024

Status

approved