A358294 - OEIS

%I #13 Mar 19 2023 20:12:59

%S 0,0,4,0,72,1024,0,432,5400,26244,0,1600,18432,84672,262144,0,4500,

%T 49000,216000,648000,1562500,0,10584,110592,472392,1382400,3267000,

%U 6718464,0,21952,222264,926100,2656192,6174000,12520872,23059204,0,41472,409600,1672704,4718592,10816000,21676032,39513600,67108864

%N Triangle read by rows: T(n,k) = n^3*k*3*(n+k)^2, n>=0, 0 <= k <= n.

%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 full array T(n,k), n>=0, k>=0, 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 ...

%Y Cf. A358292-A358295.

%K nonn,tabl

%O 0,3

%A _N. J. A. Sloane_, Dec 03 2022