A358294 Triangle read by rows: T(n,k) = n^3*k*3*(n+k)^2, n>=0, 0 <= k <= n.

0, 0, 4, 0, 72, 1024, 0, 432, 5400, 26244, 0, 1600, 18432, 84672, 262144, 0, 4500, 49000, 216000, 648000, 1562500, 0, 10584, 110592, 472392, 1382400, 3267000, 6718464, 0, 21952, 222264, 926100, 2656192, 6174000, 12520872, 23059204, 0, 41472, 409600, 1672704, 4718592, 10816000, 21676032, 39513600, 67108864

Offset

0,3

Links

Table of n, a(n) for n=0..44.

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: A296439 A228557 A373766 * A298616 A366828 A337112

Adjacent sequences: A358291 A358292 A358293 * A358295 A358296 A358297

Keyword

nonn,tabl

Author

N. J. A. Sloane, Dec 03 2022

Status

approved