;; Functions to calculate factorial

;; Recursive, tail call optimized
(defn factRec (i n a) (if (= i n) (* a i) (factRec (inc i) n (* a i))))
(defn fact (n) (if (< n 2) 1 (factRec 2 n 1)))

;; Return a vector of n factorials
(defn factVec (n) (map fact (range n)))

;; Apply version
(defn applyFact (n) (if (< n 2) 1 (apply * (range 1 (inc n)))))