internal class Sequence{
public string Name;
public List<int> Numbers;
}
// ...
string rawJSON = "{\"Name\":\"Fibonacci Sequence\",\"Numbers\":[0, 1, 1, 2, 3, 5, 8, 13]}";
Sequence sequence = JsonConvert.DeserializeObject<Sequence>(rawJSON);
For more information, refer to the Json.NET official site.
Note: Json.NET supports .NET version 2 and higher.