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A remarkable integer identity. (English) Zbl 0804.05006
Summary: The integer identity \((1 + 2 + \cdots + n)^ 2 = 1^ 3 + 2^ 3 + \cdots + n^ 3\) is discussed. A number of proofs of the identity are given, the combinatorial proof leading to an elegant geometric proof.

MSC:
05A19 Combinatorial identities, bijective combinatorics
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