math - Recurrence relation for basic operation -


i need little creating recurrence relation basic operation following recursive algorithm: 

int d(int n) {   if (n==0) {     return 0;   }   return d(n - 1) + d(n - 1); }

i think basic operation addition having trouble setting recurrence relation

are sure correct code? recurrence relation is

d(n) = 2 * d(n-1) base case d(n) = 0

do see how works? function's recursion step shows recurrence step; function's termination clause shows base case.

i'm worried because in closed form, is

d(n) = 0 n

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