A060154 Table T(n,k) by antidiagonals of n^k mod k [n,k >= 1].

0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 4, 3, 0, 2, 0, 0, 1, 2, 3, 4, 1, 0, 1, 0, 1, 0, 3, 4, 0, 0, 1, 0, 0, 1, 8, 1, 4, 1, 1, 1, 2, 1, 0, 1, 4, 0, 0, 5, 0, 2, 0, 0, 0, 0, 1, 2, 9, 1, 1, 6, 1, 3, 1, 1, 1, 0, 1, 4, 3, 6, 8, 0, 0, 4, 4, 0, 2, 0, 0, 1, 2, 9, 4, 5, 0, 1, 1, 3, 0, 1, 0, 1, 0

Offset

1,8

Links

Seiichi Manyama, Antidiagonals n = 1..140, flattened

Formula

T(n, k) = A051129(n, k)-n*A060155(n, k).

Example

T(5,3) = 5^3 mod 3 = 125 mod 3 = 2.
Rows start:
  0, 1, 1, 1, 1, ...
  0, 0, 2, 0, 2, ...
  0, 1, 0, 1, 3, ...
  0, 0, 1, 0, 4, ...
  0, 1, 2, 1, 0, ...

Crossrefs

Rows include A057427, A015910, A056969.

Columns include A000004, A000035 (several times), A010872, A010874, A010876, A021559 and other periodic sequences.

Diagonals include A000004 and A057427.

Cf. A114448.

Sequence in context: A116852 A269245 A321886 * A061007 A060838 A206567

Adjacent sequences: A060151 A060152 A060153 * A060155 A060156 A060157

Keyword

nonn,tabl

Author

Henry Bottomley, Mar 12 2001

Status

approved