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Find sequence of natural numbers satisfying conditions

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October 12, 2010
number theory unsolvednumber theory

Problem Statement

Find a sequence of natural numbers aia_i such that ai=∑r=1i+4dra_i = \displaystyle\sum_{r=1}^{i+4} d_r, where dr≠dsd_r \neq d_s for r≠sr \neq s and drd_r divides aia_i.
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