Useless Numerology for 2016: Index

I’m doing something that I should have done a long time ago: collecting a series of posts into one single post.

Part 1: Introduction.

Part 2: 2016 = 2^{10}+2^9+2^8+2^7+2^6+2^5 = 2^{11} - 2^5.

Part 3: 2016 = 1 + 2 + \dots + 63.

Part 4: 2016 = (1 + 2 + \dots + 9)^2 - (1+2)^2 = 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3

Part 5: 2016 = \displaystyle \sum_{n=0}^{63} (-1)^{n+1} n^2

 

 

 

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