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sequence

Source: Austria 1997

July 11, 2009
number theory unsolvednumber theory

Problem Statement

A positive integer K K is given. Define the sequence (an) (a_n) by a_1\equal{}1 and an a_n is the n n-th natural number greater than a_{n\minus{}1} which is congruent to n n modulo K K. (a) (a) Find an explicit formula for an a_n. (b) (b) What is the result if K\equal{}2?
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