You'll appreciate this pattern.
To truly appreciate this pattern, you'll have to be a Math Maniac.
Although, many may argue pi is just a number, that there are other irrational numbers out there, I challenge that belief: Why is pi full of uses? These uses include:
Finding the circumference of a circle when the radius or diameter is known.
Finding the radius or diameter when the circumference is known.
Finding the area of a circle when the radius is known.
In Euler's Identity, (e, when raised to the i*π power, plus one, equals 0)
Anyway, if you look up First Million Digits of Pi on your preferred search engine, you will then need to scroll to the bottom of the page (which, of course, takes some time,) you can at the same time select ctrl and f. A little box will appear near the top right corner of your computer screen where you can type in 111111. There will be a highlighted section of the numbers, where you can see that 111111 occurs once in the first million digits of the pi sequence. Next, you can delete all of the contents of the box. After that, type 222222 into the box. You will see that 222222 occurs once. Keep trying, typing each digit six times in the box. You will find that each number, one through nine, occurs six consecutive times, but never seven.
Now, type 121212 into the box. There are two unique digits in the box, which occur alternatingly three consecutive times.
The same goes for 343434, 565656, 787878, and 909090.
This is weird, don't you think? Let other math-maniacs know in the comments!