Given n and k, find the number of ways to divide n zeros into k subsets.

Test case:

i)n - 7, k - 2

sol: 8

Explanation: 7 0s can be divided into 2 subsets in these ways

{{}, {0,0,0,0,0,0,0}},

{{0}, {0,0,0,0,0,0}},

{{0,0}, {0,0,0,0,0}},

{{0,0,0}, {0,0,0,0}},

{{0,0,0,0}, {0,0,0}},

{{0,0,0,0,0}, {0,0}},

{{0,0,0,0,0,0}, {0}},

{{0,0,0,0,0,0,0}, {}}

ii)n - 7, k - 3

sol: 36

Please help me find the formula for the above problem. Thanks in advance.

@ssjgz @carre @everule1