A358293 Array read by antidiagonals: T(n,k) = n^3*k*3*(n+k)^2, n>=1, k>=1.

4, 72, 72, 432, 1024, 432, 1600, 5400, 5400, 1600, 4500, 18432, 26244, 18432, 4500, 10584, 49000, 84672, 84672, 49000, 10584, 21952, 110592, 216000, 262144, 216000, 110592, 21952, 41472, 222264, 472392, 648000, 648000, 472392, 222264, 41472, 72900, 409600, 926100, 1382400, 1562500, 1382400, 926100, 409600, 72900

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Daniel Khoshnoudirad, Farey lines defining Farey diagrams and application to some discrete structures, Applicable Analysis and Discrete Mathematics, 9 (2015), 73-84; doi:10.2298/AADM150219008K.

Example

The full array T(n,k), n>=0, k>=0, begins:
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
0, 4, 72, 432, 1600, 4500, 10584, 21952, 41472, ...
0, 72, 1024, 5400, 18432, 49000, 110592, 222264, ...
0, 432, 5400, 26244, 84672, 216000, 472392, 926100, ...
0, 1600, 18432, 84672, 262144, 648000, 1382400, ...
0, 4500, 49000, 216000, 648000, 1562500, 3267000, ...
...

Crossrefs

Cf. A358292-A358295.

Sequence in context: A333543 A262235 A133003 * A340917 A161791 A132097

Adjacent sequences: A358290 A358291 A358292 * A358294 A358295 A358296

Keyword

nonn,tabl

Author

N. J. A. Sloane, Dec 03 2022

Status

approved