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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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17
Task/Catalan-numbers/Clojure/catalan-numbers.clj Normal file
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(def ! (memoize #(apply * (range 1 (inc %)))))
(defn catalan-numbers-direct []
(map #(/ (! (* 2 %))
(* (! (inc %)) (! %))) (range)))
(def catalan-numbers-recursive
#(->> [1 1] ; [c0 n1]
(iterate (fn [[c n]]
[(* 2 (dec (* 2 n)) (/ (inc n)) c) (inc n)]) ,)
(map first ,)))
user> (take 15 (catalan-numbers-direct))
(1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440)
user> (take 15 (catalan-numbers-recursive))
(1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440)