Generate a series of random numbers that add up to N in c#

If you want an unbiased algorithm then the naive implementation is something like:

while (true) {
  numbers = [];
  total = 0;
  for (i = 0; i < COUNT; ++i) {
    next = rand(BOUNDS);
    total += next;
    numbers.push(next);
  }

  if (total == TARGET) {
    return numbers;
  }
}

This is non-terminating and slow but it is not biased. If you want a unbiased algorithm I'm not convinced the algorithms posted here are unbiased.