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A300826
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a(n) = n/A125746(n), where A125746(n) gives the smallest divisor d of n such that the sum which includes d and all smaller divisors is >= n.
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3
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1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 1, 2, 1
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OFFSET
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1,6
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COMMENTS
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Records occur at 1, 6, 24, 120, 240, 504, 1260, 2520, 5040, 15120, 50400, 55440, ... and they are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, ...
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LINKS
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FORMULA
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PROG
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(PARI) A300826(n) = { my(k=0, s=0); fordiv(n, d, k++; s += d; if(s>=n, return(n/d))); };
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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