python - Multi-mapping a value while saving intermediate values -

i'd map value through dictionary multiple times, , record intermediate values. since list.append() doesn't return value, below best i've been able come with. there better way in python, perhaps using list comprehension or recursion?

def append(v, seq):     seq.append(v)     return v  def multimap(value, f, count):     result = []     _ in range(count):         value = append(f[value], result)      return result  print( multimap('a', {'a': 'b', 'b': 'c', 'c': 'd', 'd': 'a'}, 4) ) 

output:

['b', 'c', 'd', 'a'] 

instead of having deal lists, can use generator:

def multimap(value, f, count):     _ in range(count):         value = f[value]         yield value  print(list(multimap('a', {'a': 'b', 'b': 'c', 'c': 'd', 'd': 'a'}, 4)))