Here's some working code. The first function tests if a number is palidromic by converting it to a string then an IEnumerable and testing if it is equal to its reverse. This is enough to answer your question. The main function simply iterates over the integers testing them one by one.
using System;
using System.Collections.Generic;
using System.Linq;
class Program
{
public static bool IsPalindromic(long l)
{
IEnumerable<char> forwards = l.ToString().ToCharArray();
return forwards.SequenceEqual(forwards.Reverse());
}
public static void Main()
{
long n = 0;
while (true)
{
if (IsPalindromic(n))
Console.WriteLine("" + n);
n++;
}
}
}
Update: Here is a more direct method of generating palindromes. It doesn't test numbers individually, it just generates palindromes directly. It's not really useful for answering your homework, but perhaps you will find this interesting anyway:
using System;
using System.Collections.Generic;
using System.Linq;
class Program
{
public static void Main()
{
bool oddLength = true;
ulong start = 1;
while (true)
{
for (ulong i = start; i < start * 10; ++i)
{
string forwards = i.ToString();
string reverse = new string(forwards.ToCharArray()
.Reverse()
.Skip(oddLength ? 1 : 0)
.ToArray());
Console.WriteLine(forwards + reverse);
}
oddLength = !oddLength;
if (oddLength)
start *= 10;
}
}
}