RosettaCodeData/Task/Tau-function/Clojure/tau-function.clj

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(require '[clojure.string :refer [join]])
(require '[clojure.pprint :refer [cl-format]])
(defn divisors [n] (filter #(zero? (rem n %)) (range 1 (inc n))))
(defn display-results [label per-line width nums]
(doall (map println (cons (str "\n" label ":") (list
(join "\n" (map #(join " " %)
(partition-all per-line (map #(cl-format nil "~v:d" width %) nums)))))))))
(display-results "Tau function - first 100" 20 3
(take 100 (map (comp count divisors) (drop 1 (range)))))
(display-results "Tau numbers first 100" 10 5
(take 100 (filter #(zero? (rem % (count (divisors %)))) (drop 1 (range)))))
(display-results "Divisor sums first 100" 20 4
(take 100 (map #(reduce + (divisors %)) (drop 1 (range)))))
(display-results "Divisor products first 100" 5 16
(take 100 (map #(reduce * (divisors %)) (drop 1 (range)))))