Add Frizzy Number (fixes #3379) (#3906)

src/main/java/com/thealgorithms/maths/FrizzyNumber.java

@@ -0,0 +1,33 @@
+/** Author : Siddhant Swarup Mallick
+ * Github : https://github.com/siddhant2002
+ */
+
+/** Program description - To find the FrizzyNumber*/
+
+
+package com.thealgorithms.maths;
+
+public class FrizzyNumber {
+
+    /**
+     * Returns the n-th number that is a sum of powers
+     * of the given base.
+     * Example: base = 3 and n = 4
+     * Ascending order of sums of powers of 3 =
+     * 3^0 = 1, 3^1 = 3, 3^1 + 3^0 = 4, 3^2 + 3^0 = 9
+     * Ans = 9
+     * 
+     * @param base The base whose n-th sum of powers is required
+     * @param n    Index from ascending order of sum of powers of base
+     * @return n-th sum of powers of base
+     */
+    public static double getNthFrizzy(int base, int n) {
+        double final1 = 0.0;
+        int i = 0;
+        do
+        {
+            final1 += Math.pow(base, i++) * (n % 2);
+        } while ((n /= 2) > 0);
+        return final1;
+    }
+}