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%I #15 Mar 19 2023 20:11:33
%S 0,0,0,0,4,0,0,72,72,0,0,432,1024,432,0,0,1600,5400,5400,1600,0,0,
%T 4500,18432,26244,18432,4500,0,0,10584,49000,84672,84672,49000,10584,
%U 0,0,21952,110592,216000,262144,216000,110592,21952,0,0,41472,222264,472392,648000,648000,472392,222264,41472,0
%N Array read by antidiagonals: T(n,k) = n^3*k*3*(n+k)^2, n>=0, k>=0.
%H Daniel Khoshnoudirad, <a href="http://www.doiserbia.nb.rs/img/doi/1452-8630/2015/1452-86301500008K.pdf">Farey lines defining Farey diagrams and application to some discrete structures</a>, Applicable Analysis and Discrete Mathematics, 9 (2015), 73-84; doi:10.2298/AADM150219008K.
%e The array begins:
%e 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
%e 0, 4, 72, 432, 1600, 4500, 10584, 21952, 41472, ...
%e 0, 72, 1024, 5400, 18432, 49000, 110592, 222264, ...
%e 0, 432, 5400, 26244, 84672, 216000, 472392, 926100, ...
%e 0, 1600, 18432, 84672, 262144, 648000, 1382400, ...
%e 0, 4500, 49000, 216000, 648000, 1562500, 3267000, ...
%e ...
%e ...
%Y Cf. A358293-A358295.
%K nonn,tabl
%O 0,5
%A _N. J. A. Sloane_, Dec 03 2022