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

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%I A372818 #25 Jul 23 2025 16:05:24
%S A372818 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,
%T A372818 0,96,514,483,196,48,8,0,0,162,1665,2142,1095,320,63,9,0,0,288,5411,
%U A372818 9496,6098,2131,486,80,10,0,0,576,17398,42196,33961,14170,3747,700,99,11
%N A372818 Table read by antidiagonals: T(m,n) = number of 2-metered (m,n)-parking functions.
%H A372818 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 A372818 Table begins:
%e A372818   1, 2,   3,    4,     5,      6,      7, ...
%e A372818   0, 3,   8,   15,    24,     35,     48, ...
%e A372818   0, 0,  16,   50,   108,    196,    320, ...
%e A372818   0, 0,  27,  163,   483,   1095,   2131, ...
%e A372818   0, 0,  48,  514,  2142,   6098,  14170, ...
%e A372818   0, 0,  96, 1665,  9496,  33961,  94228, ...
%e A372818   0, 0, 162, 5411, 42196, 189100, 626569, ...
%e A372818   ...
%Y A372818 Main diagonal is second row of A372816.
%Y A372818 Cf. A372817, A372819, A005563, A372821.
%K A372818 nonn,tabl
%O A372818 1,3
%A A372818 _Spencer Daugherty_, May 13 2024