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

%I #26 Jul 03 2024 04:25:50

%S 1,1,3,1,3,21,1,3,16,209,1,3,16,163,2640,1,3,16,125,2142,40391,1,3,16,

%T 125,1686,33961,726103,1,3,16,125,1296,27629,626569,15003009,1,3,16,

%U 125,1296,21858,525594,13198604,350382231

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

%H Spencer Daugherty, Pamela E. Harris, Ian Klein, and Matt McClinton, <a href="https://arxiv.org/abs/2406.12941">Metered Parking Functions</a>, arXiv:2406.12941 [math.CO], 2024.

%e Table begins:

%e 1, 3, 21, 209, 2640, 40391, 726103, ...

%e 1, 3, 16, 163, 2142, 33961, 626569, ...

%e 1, 3, 16, 125, 1686, 27629, 525594, ...

%e 1, 3, 16, 125, 1296, 21858, 430062, ...

%e 1, 3, 16, 125, 1296, 16807, 341192, ...

%e 1, 3, 16, 125, 1296, 16807, 262144, ...

%e ...

%Y First row is A097690 and main diagonal of A372817.

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

%Y Cf. A372821, A000272.

%K nonn,tabl,more

%O 1,3

%A _Spencer Daugherty_, May 13 2024