Some Thoughts on Math and 7-11 pt.11

So here's the second part of my thoughts on math, labeled pt.11 because I feel like it and it's a perfect continuation to pt.7 from before.  However, unlike the last post, this one has a lot more focus on actual math and less on trivia and other seeming nonsense.
Onto the number 11, it is the first two digit prime number and the first of very few prime numbers consisting of only the number 1, others include 19 and 23 repeated 1s, typing those out would be too much effort so I won't.  Another point of interest in these numbers consisting of repeating 1s is as such:
1*1 = 1
11*11 = 121
111*111 = 12321
1111*1111  1234321
and so on.  Obviously, it looks a bit funny after the digits pass 9 but it still follows correctly.
Since I wanted a shorter post this time, I'm only gonna cover one more interesting fact about the number 11 in particular.  There is a particular triangle named Pascal's triangle that is used mainly for teaching binomial expansion to high school students.  When looking at it closely however, there is a strange relation between each row and the number 11 that I will now demonstrate.
11^0 = 1               =                 1
11^1 = 11             =              1    1
11^2 = 121           =           1    2    1
11^3 = 1331         =        1    3    3    1
11^4 = 14641       =     1     4   6   4     1
11^5 = 161051     =  1     5  10  10  5     1
Ok, I'll be the first to say that it's not absolutely perfect, but only because of carrying values.  In actuality, each digit of the expansion of 11^n is a corresponding number to the triangle, which is a little bit interesting.  Well, that's all for this post, the next post is on...well I'm not really sure yet so who knows.  Oh and yea, this post turned out longer than I'd hoped, perhaps they'll all be about this long?

--CsMiREK