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Question Number 121359 by liberty last updated on 07/Nov/20

$$\mathrm{Find}\mathrm{all}\mathrm{n}\in \mathbb{N}\mathrm{such}\mathrm{that}{(\mathrm{n}+3)}^{\mathrm{n}}=\underset{\mathrm{k}=3}{\sum ^{\mathrm{n}+2}}{\mathrm{k}}^{\mathrm{n}}$$

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