# Big round meeting table !

Discrete Mathematics Level 3

A factory has $$2^n$$ workers . Every monday there is ameeting held and all of them sit on a big circular table. All the workers are divided into $$a_1$$ type groups each of 2 workers who should sit near each other . they are again divided into $$a_2$$ type groups each consisting of 2 $$a_1$$ type groups which should sit adjacent to each other . this is continued to form $$a_3$$ , $$a_4$$ ... type groups .

Find $$2^{n+1}$$-(no of ways the workers can sit on the table)

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