Initial data commit

Task/M-bius-function/Lua/m-bius-function.lua

@@ -0,0 +1,45 @@
+function buildArray(size, value)
+    local tbl = {}
+    for i=1, size do
+        table.insert(tbl, value)
+    end
+    return tbl
+end
+
+MU_MAX = 1000000
+sqroot = math.sqrt(MU_MAX)
+mu = buildArray(MU_MAX, 1)
+
+for i=2, sqroot do
+    if mu[i] == 1 then
+        -- for each factor found, swap + and -
+        for j=i, MU_MAX, i do
+            mu[j] = mu[j] * -i
+        end
+        -- square factor = 0
+        for j=i*i, MU_MAX, i*i do
+            mu[j] = 0
+        end
+    end
+end
+
+for i=2, MU_MAX do
+    if mu[i] == i then
+        mu[i] = 1
+    elseif mu[i] == -i then
+        mu[i] = -1
+    elseif mu[i] < 0 then
+        mu[i] = 1
+    elseif mu[i] > 0 then
+        mu[i] = -1
+    end
+end
+
+print("First 199 terms of the mobius function are as follows:")
+io.write("    ")
+for i=1, 199 do
+    io.write(string.format("%2d  ", mu[i]))
+    if (i + 1) % 20 == 0 then
+        print()
+    end
+end