Initial data commit

Task/Pascal-matrix-generation/Clojure/pascal-matrix-generation.clj

@@ -0,0 +1,38 @@
+(defn binomial-coeff [n k]
+  (reduce #(quot (* %1 (inc (- n %2))) %2)
+          1
+          (range 1 (inc k))))
+
+(defn pascal-upper [n]
+  (map
+   (fn [i]
+     (map (fn [j]
+            (binomial-coeff j i))
+          (range n)))
+   (range n)))
+
+(defn pascal-lower [n]
+  (map
+   (fn [i]
+     (map (fn [j]
+            (binomial-coeff i j))
+          (range n)))
+   (range n)))
+
+(defn pascal-symmetric [n]
+  (map
+   (fn [i]
+     (map (fn [j]
+            (binomial-coeff (+ i j) i))
+          (range n)))
+   (range n)))
+
+(defn pascal-matrix [n]
+  (println "Upper:")
+  (run! println (pascal-upper n))
+  (println)
+  (println "Lower:")
+  (run! println (pascal-lower n))
+  (println)
+  (println "Symmetric:")
+  (run! println (pascal-symmetric n)))