Nicomachus's theorem is the identity stating that the sum of the first n cubes equals the square of the nth triangular number, so that 1 cubed plus 2 cubed plus 3 cubed and so on up to n cubed equals the square of the sum 1 plus 2 plus 3 up to n. The identity is attributed to Nicomachus of Gerasa, who lived from around 60 to 120 CE and observed that summing consecutive blocks of odd numbers produces successive cubes, without giving a formal proof of the pattern himself.
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In Branch
Source Squared triangular number (Wikipedia)
Sources
1. Squared triangular number (Wikipedia)
In Group: Binomial and Summation Identities, Lead
This identity is sometimes called Nicomachus's theorem, after Nicomachus of Gerasa
In Branch: Number Theory, Lead sentence
In number theory, the sum of the first n cubes is the square of the nth triangular number.
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