A096133 Triangle T(j,k) = (j^k) mod (j*k) for 1 <= k <= j, read by rows.

0, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 6, 0, 0, 7, 7, 21, 7, 7, 0, 0, 0, 8, 0, 8, 16, 8, 0, 0, 9, 0, 9, 9, 27, 9, 9, 0, 0, 0, 10, 0, 0, 40, 10, 0, 10, 0, 0, 11, 11, 33, 11, 55, 11, 33, 44, 11, 0, 0, 0, 0, 0, 12, 0, 12, 0, 0, 24, 12, 0, 0, 13, 13, 13, 13, 13, 13, 65, 91, 39, 13, 13

Offset

1,5

Links

Table of n, a(n) for n=1..90.

Example

0
0 0
0 3 0
0 0 4 0
0 5 5 5 0
0 0 0 0 6 0
0 7 7 21 7 7 0

Prog

(PARI) for(j=1, 13, for(k=1, j, print1((j^k)%(j*k), ", ")))

Crossrefs

Row sums are in A157351. [From Klaus Brockhaus, May 30 2009]

Sequence in context: A278478 A364107 A122480 * A378036 A349379 A293381

Adjacent sequences: A096130 A096131 A096132 * A096134 A096135 A096136

Keyword

nonn,easy,tabl

Author

Amarnath Murthy, Jul 04 2004

Extensions

Edited and extended by Klaus Brockhaus, Jul 16 2004

Status

approved