Why do I NOT need Publish on this cold observable?
var subject = new List<string>
    {
    "test",
    "test",
    "hallo",
    "test",
    "hallo"
    }.ToObservable();
subject
    .GroupBy(x => x)
    .SelectMany(grouped => grouped.Scan(0, (count, _) => ++count)
         .Zip(grouped, (count, chars) => new { Chars = chars, Count = count }))
    .Subscribe(result => Console.WriteLine("You typed {0} {1} times",
         result.Chars, result.Count));

// I Would have expect that I need to use Publish like that
//subject
//   .GroupBy(x => x)
//   .SelectMany(grouped => grouped.Publish(sharedGroup =>
//       sharedGroup.Scan(0, (count, _) => ++count)
//       .Zip(sharedGroup, (count, chars) =>
//           new { Chars = chars, Count = count })))
//   .Subscribe(result => Console.WriteLine("You typed {0} {1} times",
//       result.Chars, result.Count));

Console.ReadLine();

var subject = new List<Func<string>>
{
() =>
    {
        Console.WriteLine("performing");
        return "test";
    },
() => "test",
() => "hallo",
() => "test",
() => "hallo"
}.ToObservable();


subject
    .Select(x => x())
    .GroupBy(x => x)
    .SelectMany(grouped => grouped.Scan(0, (count, _) => ++count)
            .Zip(grouped, (count, chars) => new { Chars = chars, Count = count }))
    .Subscribe(result => Console.WriteLine("You typed {0} {1} times",
            result.Chars, result.Count));

class Program
{
    static void Main(string[] args)
    {
        var subject = new MyObservable();

        subject
            .GroupBy(x => x)
            .SelectMany(grouped => grouped.Scan(0, (count, _) => ++count)
                 .Zip(grouped, (count, chars) => new { Chars = chars, Count = count }))
            .Subscribe(result => Console.WriteLine("You typed {0} {1} times",
                 result.Chars, result.Count));

       Console.ReadLine();
   }
}

class MyObservable : IObservable<string>
{
    public IDisposable Subscribe(IObserver<string> observer)
    {
        observer.OnNext("test");
        observer.OnNext("test");
        observer.OnNext("hallo");
        observer.OnNext("test");
        observer.OnNext("hallo");
        return Disposable.Empty;
    }
}