A082754 Triangle read by rows: T(n, k) = abs(n^k-k^n), 1<=k<=n.

0, 1, 0, 2, 1, 0, 3, 0, 17, 0, 4, 7, 118, 399, 0, 5, 28, 513, 2800, 7849, 0, 6, 79, 1844, 13983, 61318, 162287, 0, 7, 192, 6049, 61440, 357857, 1417472, 3667649, 0, 8, 431, 18954, 255583, 1894076, 9546255, 35570638, 91171007, 0, 9, 924, 58049, 1038576

Offset: 1

Author

Amarnath Murthy, Apr 17 2003

Keywords

• nonn
• tabl

Comments

Aside from n = k, the only zero in this triangle corresponds to a(4, 2). - Alonso del Arte, Jul 09 2009

Examples

			Triangle begins:
  0
  1 0
  2 1 0
  3 0 17 0
  4 7 118 399 0
  5 28 513 2800 7849 0
  ...
		

Crossrefs

Cf. A055651.

Programs

Mathematica

a[n_, k_] := a[n, k] = n^k - k^n; ColumnForm[Table[Abs[a[n, k]], {n, 10}, {k, n}], Center] (* Alonso del Arte, Jul 09 2009 *)

Extensions

More terms from David Wasserman, Oct 04 2004