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Given a positive integer n, let S(n) denote the digit sum of n. Consider the sequence of numbers given by

n₁ = S(n)
nk = S(nk−1)k≥2

For how many positive integers n ≤ 2013 does the sequence {nk} contain the number 9?

  • Math (Algebra) - ,

    Given a positive integer n, let S(n) denote the digit sum of n. Consider the sequence of numbers given by

    n₁ = S(n)
    nk = S(nk−1)k≥2

    For how many positive integers n ≤ 2013 does the sequence {nk} contain the number 9?

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