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A089083
T(n,k) = (floor(k*n/2) * ceiling(k*n/2))^2, triangular array read by rows, 1 <= k <= n.
1
0, 1, 16, 4, 81, 400, 16, 256, 1296, 4096, 36, 625, 3136, 10000, 24336, 81, 1296, 6561, 20736, 50625, 104976, 144, 2401, 12100, 38416, 93636, 194481, 360000, 256, 4096, 20736, 65536, 160000, 331776, 614656, 1048576, 400, 6561, 33124, 104976, 256036, 531441, 984064, 1679616, 2689600
OFFSET
1,3
LINKS
Michael De Vlieger, Table of n, a(n) for n = 1..11325, rows 1 <= n <= 150, flattened.
FORMULA
T(n,1) = A002620(n)^2;
T(n,2) = A000290(n)^2 for n > 1;
T(n,4) = A016742(n)^2 for n > 3.
EXAMPLE
Triangle begins:
0
1 16
4 81 400
16 256 1296 4096
36 625 3136 10000 24336
...
MATHEMATICA
T[n_, k_] := Floor[k n/2]^2 * Ceiling[k n/2]^2;
Table[T[n, k], {n, 1, 10}, {k, 1, n}] // Flatten (* Jean-François Alcover, Nov 16 2021 *)
CROSSREFS
Sequence in context: A245826 A374708 A331222 * A363191 A102411 A336782
KEYWORD
nonn,tabl
AUTHOR
Reinhard Zumkeller, Dec 04 2003
EXTENSIONS
Name and formulas corrected by Jean-François Alcover, Nov 16 2021
STATUS
approved