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What is the next number in this series 1 2 4 13 31 112?

ans is 224..! can anyone explain me logic.! :)

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TCS Other Question

1,2,4,13,31,112,? sandra while walking diametrically across a semicircular playground, takes 3mins less than if she had kept walking around the circular path from A to B. if she walks 60 metres a minute , what is the diameter of the playground?