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There are $n$ beads placed on a circle, $n\ge 3$. They are numbered in random order as viewed clockwise. Beads for which the number of the previous bead is less than the number of a next bead are painted in white color,and others - in black.

Two colorations that can be made equal by rotation are considered identical. How many different colorations can occur?

Gerry Myerson
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Andrew
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  • This is repeated here –  Oct 14 '14 at 12:32
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    Solution is at the other copy of this question: http://math.stackexchange.com/questions/965292/black-and-white-beads-on-a-circle?lq=1 – Leen Droogendijk Oct 18 '14 at 19:07
  • @Andrew: Please un-accept the currently accepted answer (which is a shameless copy of the one Leen Droogendijk mentions in the previous comment) so that that answer can be subsequently deleted (and this question can closed as a duplicate). – Marc van Leeuwen Oct 19 '14 at 11:36

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