Data update

Task/Tau-function/Delphi/tau-function.pas

@@ -0,0 +1,38 @@
+program Tau_function;
+
+{$APPTYPE CONSOLE}
+
+uses
+  System.SysUtils;
+
+function CountDivisors(n: Integer): Integer;
+begin
+  Result := 0;
+  var i := 1;
+  var k := 2;
+  if (n mod 2) = 0 then
+    k := 1;
+
+  while i * i <= n do
+  begin
+    if (n mod i) = 0 then
+    begin
+      inc(Result);
+      var j := n div i;
+      if j <> i then
+        inc(Result);
+    end;
+    inc(i, k);
+  end;
+end;
+
+begin
+  writeln('The tau functions for the first 100 positive integers are:');
+  for var i := 1 to 100 do
+  begin
+    write(CountDivisors(i): 2, ' ');
+    if (i mod 20) = 0 then
+      writeln;
+  end;
+  readln;
+end.