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Number of different necklaces using $m$ red and $n$ white pebbles

I don't understand high level maths. Please try to do simple$\ldots$ I tried to hunt down the pattern but couldn't complete as I have my exam.

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    There is no reason to cripple your post below twitter message length or the like. So please use complete words.2012-10-14
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    Are you familiar with Burnside's lemma? The only way I see to do it is with that, but I don't know if you know Burnside's lemma.2012-10-14
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    Please clarify whether you mean "necklace" in the technical sense of considering arrangements related by a rotation as equivalent, as mentioned in sdcvvc's comment under Jen-Ya's answer, or in the everyday sense where a necklace has a distinguished spot where it opens and closes, so that rotations do matter.2012-10-14

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