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%I #20 Jul 03 2024 04:25:12
%S 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,
%T 0,257,432,196,48,8,0,0,0,540,1686,1029,320,63,9,0,0,0,1200,6253,5367,
%U 2048,486,80,10,0,0,0,3000,23228,27629,13076,3645,700,99,11
%N Table read by antidiagonals: T(m,n) = number of 3-metered (m,n)-parking functions
%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 beings:
%e 1, 2, 3, 4, 5, 6, 7, ...
%e 0, 3, 8, 15, 24, 35, 48, ...
%e 0, 0, 16, 50, 108, 196, 320, ...
%e 0, 0, 0, 125, 432, 1029, 2048, ...
%e 0, 0, 0, 257, 1686, 5367, 13076, ...
%e 0, 0, 0, 540, 6253, 27629, 83069, ...
%e 0, 0, 0, 1200, 23228, 140599, 525594, ...
%e ...
%Y Main diagonal is third row of A372816.
%Y Cf. A372818, A372820, A372821, A005563.
%K nonn,tabl
%O 1,3
%A _Spencer Daugherty_, May 13 2024