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

1,4

Comments

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

Links

Table of n, a(n) for n=1..49.

Example

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

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 *)

Crossrefs

Cf. A055651.

Sequence in context: A366548 A143714 A004172 * A063173 A120111 A130055

Adjacent sequences: A082751 A082752 A082753 * A082755 A082756 A082757

Keyword

nonn,tabl

Author

Amarnath Murthy, Apr 17 2003

Extensions

More terms from David Wasserman, Oct 04 2004

Status

approved