Recurrence relation and initial conditions


Assume that you've a large supply of 2-, 3-, and 5-cent stamps. Write down a recurrence relation and initial conditions for the number sn of different ways in which n cents worth of postage can be attached to an envelope if the order in which the stamps are attached matters. (Thus a 2-cent stamp followed by a 3-cent stamp is different from a 3-cent stamp followed by a 2-cent stamp.)

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Mathematics: Recurrence relation and initial conditions
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