My First Blog- Happy Numbers

So today I discovered 'happy numbers'; well I thought I did. My maths teacher told me that happy numbers were those which when you added the digits, and kept doing so until you had one digit the final number would be one. eg. 109=1+0+9=10
                   =1+0= 1   :)

This got my excited, my reaction: 'aww thats soooo cute'. So in out 5 minute break in the lesson I tried to figure out the nth term for the sequence of happy numbers (1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100):

difference is 9 therefore: 9n
so the second term 9*2=18 which doesn't work, so we have to take away 8.
So the nth term is 9n-8.

I decided I might have a look on google to see what others had discovered with these cute little happy numbers. I find this: http://en.wikipedia.org/wiki/Happy_number.
This tells us that a happy number is the square of each digit added together thus:
7² = 49
4² + 9² = 97
9² + 7² = 130
1² + 3² + 0² = 10
1² + 0² = 1.

This somehow does not satisfy me as much :(
Life is like this situation: its great until someone tells you your wrong.

My bubble has burst, lets wait and see whether I find something enjoyable in Math tomorrow, I do hope so!