A352242 Regular triangle T(n,k) = (n-k)*(n^3-k^3) for n>=2 and 1 <= k <= n-1, read by rows.

7, 52, 19, 189, 112, 37, 496, 351, 196, 61, 1075, 832, 567, 304, 91, 2052, 1675, 1264, 837, 436, 127, 3577, 3024, 2425, 1792, 1161, 592, 169, 5824, 5047, 4212, 3325, 2416, 1539, 772, 217, 8991, 7936, 6811, 5616, 4375, 3136, 1971, 976, 271, 13300, 11907, 10432, 8869, 7236, 5575, 3952, 2457, 1204, 331

Offset

2,1

Links

Michael De Vlieger, Table of n, a(n) for n = 2..11176 (rows n = 2..150, flattened)

Example

Triangle begins:
     7;
    52,   19;
   189,  112,   37;
   496,  351,  196,  61;
  1075,  832,  567, 304,  91;
  2052, 1675, 1264, 837, 436, 127;
  ...

Mathematica

Table[(n - k) (n^3 - k^3), {n, 2, 11}, {k, n - 1}] // Flatten (* Michael De Vlieger, Mar 09 2022 *)

Prog

(PARI) row(n) = vector(n-1, k, (n-k)*(n^3-k^3));

Crossrefs

Cf. A003215 (right diagonal), A138849 (left border).

Cf. A352243, A352244.

Sequence in context: A220224 A198007 A156751 * A138849 A057675 A206809

Adjacent sequences: A352239 A352240 A352241 * A352243 A352244 A352245

Keyword

nonn,tabl

Author

Michel Marcus, Mar 09 2022

Status

approved