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

1,3

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

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; 1,2,4,8,7,3,6,...

Crossrefs

Sequence in context: A200651 A126597 A261867 * A304089 A209281 A240554

Adjacent sequences: A076078 A076079 A076080 * A076082 A076083 A076084

Keyword

nonn

Author

Amarnath Murthy, Oct 07 2002

Extensions

More terms from David Wasserman, Mar 24 2005

Status

approved