MathDB

There are

n

knights numbered

1

n

and a round table with

n

chairs. The first knight chooses his chair, and from him, the knight number

k+1

sits

k

places to the right of knight number

k

, for all

1 \le k\le n-1

(occupied and empty seats are counted). In particular, the second knight sits next to the first. Find all values of

n

such that the

n

gentlemen occupy the

n

chairs following the described procedure.

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