Q:

C# Singleton pattern with triggerable initialization

I need a singleton that:

is lazy loaded
is thread safe
loads some values at construction
those values can be queried at any time
the initialization MAY happen at some precise time, before the querying begins - so I must be able to trigger it from the outside somehow. Of course, triggering multiple times should only do the initialization once.

I use .NET 3.5.
I've started with Jon Skeet's implementation (5th version) using a static subclass: 
public sealed class Singleton
{
    IEnumerable<string> Values {get; private set;}
    private Singleton()
    {
        Values = new[]{"quick", "brown", "fox"};
    }

    public static Singleton Instance { get { return Nested.instance; } }

    private class Nested
    {
        // Explicit static constructor to tell C# compiler
        // not to mark type as beforefieldinit
        static Nested()
        {
        }

        internal static readonly Singleton instance = new Singleton();
    }
} 

This ticks almost all the boxes, except the "trigger initialization from outside". Since the actual initialization happens inside the ctor, it can't happen more than once.
How can this be accomplished? 
The singleton will be used like this: 
public static void Main(){

    //do stuff, singleton should not yet be initialized.

    //the time comes to initialize the singleton, e.g. a database connection is available
    //this may be called 0 or more times, possibly on different threads

    Singleton.Initialize();
    Singleton.Initialize();
    Singleton.Initialize();

    //actual call to get retrieved values, should work
    var retrieveVals = Singleton.Instance.Values;

}

A:

Seems like you could do:
public sealed class Singleton
{
    IEnumerable<string> Values {get; private set;}
    private Singleton(bool loadDefaults)
    {
        if (loadDefaults)
            Values = new[]{"quick", "brown", "fox"};
        else
            Values = new[]{"another", "set", "of", "values"};
    }

    public static Singleton Instance { get { return Nested.instance; } }

    public static void Initialize() {
        Nested.Initialize();
    }

    private class Nested
    {
        // Explicit static constructor to tell C# compiler
        // not to mark type as beforefieldinit
        static Nested()
        {
        }

        internal static readonly Singleton instance = new Singleton(true);
        private static object instanceLock = new object();
        private static bool isInitialized = false; 

        public static void Initialize() {
            lock(instanceLock) {
                if (!isInitialized) {
                    isInitialized = true;
                    instance = new Singleton(false);
                }
            }
        }

    }
} 

Or to create a single instance that will be updated:
public sealed class Singleton
{
    IEnumerable<string> Values {get; private set;}
    private Singleton()
    {
        Values = new[]{"quick", "brown", "fox"};
    }

    public static Singleton Instance { get { return Nested.instance; } }

    private static object instanceLock = new object();
    private static bool isInitialized = false; 

    public static void Initialize() {
        lock(instanceLock) {
            if (!isInitialized) {
                isInitialized = true;
                Instance.Values = new[]{"another", "set", "of", "values"};
            }
        }
    }

    private class Nested
    {
        // Explicit static constructor to tell C# compiler
        // not to mark type as beforefieldinit
        static Nested()
        {
        }

        internal static readonly Singleton instance = new Singleton();
    }
} 

And the third variation based on your immutable comment and removal of Nested class comment:
public sealed class Singleton
{
    IEnumerable<string> Values {get; private set;}
    private Singleton()
    {
        Values = new[]{"quick", "brown", "fox"};
    }

    private static Singleton instance;
    private static object instanceLock = new object();

    public static Singleton Instance {
        get {
            Initialize();
            return instance;
        }
     }

    public static void Initialize() {
        if (instance == null) {
            lock(instanceLock) {
                if (instance == null)
                    instance = new Singleton();
            }
        }
    }
} 

