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Find-all-n-N-such-that-n-3-n-k-3-n-2-k-n-




Question Number 121359 by liberty last updated on 07/Nov/20
Find all n∈N such that (n+3)^n  = Σ_(k=3) ^(n+2)  k^n
$$\mathrm{Find}\:\mathrm{all}\:\mathrm{n}\in\mathbb{N}\:\mathrm{such}\:\mathrm{that}\:\left(\mathrm{n}+\mathrm{3}\right)^{\mathrm{n}} \:=\:\underset{\mathrm{k}=\mathrm{3}} {\overset{\mathrm{n}+\mathrm{2}} {\sum}}\:\mathrm{k}^{\mathrm{n}} \\ $$

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