A358292 Array read by antidiagonals: T(n,k) = n^3*k^3*(n+k)^2, n>=0, k>=0.

0, 0, 0, 0, 4, 0, 0, 72, 72, 0, 0, 432, 1024, 432, 0, 0, 1600, 5400, 5400, 1600, 0, 0, 4500, 18432, 26244, 18432, 4500, 0, 0, 10584, 49000, 84672, 84672, 49000, 10584, 0, 0, 21952, 110592, 216000, 262144, 216000, 110592, 21952, 0, 0, 41472, 222264, 472392, 648000, 648000, 472392, 222264, 41472, 0

Offset

0,5

Links

Table of n, a(n) for n=0..54.

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

Example

The array 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. A358293-A358295.

Sequence in context: A375587 A375556 A369379 * A071608 A013451 A013462

Adjacent sequences: A358289 A358290 A358291 * A358293 A358294 A358295

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane, Dec 03 2022

Extensions

Typo in definition corrected by Georg Fischer, Sep 01 2025

Status

approved