A076081 Rearrange numbers from 1 to n: start with the divisors of n in ascending order followed by numbers in ascending order which leave a remainder 1 on dividing by n, followed by those leaving remainder 2 ... up to remainder [(n-1)/2].

1, 1, 2, 1, 3, 2, 1, 2, 4, 3, 1, 5, 2, 4, 3, 1, 2, 3, 6, 5, 4, 1, 7, 2, 3, 6, 5, 4, 1, 2, 4, 8, 7, 3, 6, 5, 1, 3, 9, 2, 4, 8, 7, 6, 5, 1, 2, 5, 10, 3, 9, 4, 8, 7, 6, 1, 11, 2, 5, 10, 3, 9, 4, 8, 7, 6, 1, 2, 3, 4, 6, 12, 11, 5, 10, 9, 8, 7, 1, 13, 2, 3, 4, 6, 12, 11, 5, 10, 9, 8, 7, 1, 2, 7, 14, 13, 3, 4, 6

Offset: 1

Author

Amarnath Murthy, Oct 07 2002

Keywords

• nonn
• tabl

Comments

For n=10 the arrangement is 1,2,5,10,3,9,4,8,7,6.

Examples

			Triangle begins:
  1;
  1,2;
  1,3,2;
  1,2,4,3;
  1,5,2,4,3;
  1,2,3,6,5,4;
  1,7,2,3,6,5,4;
  1,2,4,8,7,3,6,5;
  ...
		

Extensions

More terms from David Wasserman, Mar 24 2005

Keyword tabl added by Michel Marcus, Jan 08 2025