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A304776
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A weakening function. a(n) = n / A007947(n)^(A051904(n) - 1) where A007947 is squarefree kernel and A051904 is minimum prime exponent.
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3
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1, 2, 3, 2, 5, 6, 7, 2, 3, 10, 11, 12, 13, 14, 15, 2, 17, 18, 19, 20, 21, 22, 23, 24, 5, 26, 3, 28, 29, 30, 31, 2, 33, 34, 35, 6, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 7, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 2, 65, 66, 67, 68, 69, 70, 71, 12, 73, 74, 75, 76, 77, 78, 79, 80, 3, 82, 83
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OFFSET
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1,2
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COMMENTS
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This function takes powerful numbers (A001694) to weak numbers (A052485) and leaves weak numbers unchanged.
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LINKS
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FORMULA
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MATHEMATICA
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spr[n_]:=Module[{f, m}, f=FactorInteger[n]; m=Min[Last/@f]; n/Times@@First/@f^(m-1)];
Array[spr, 100]
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PROG
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(PARI)
A007947(n) = factorback(factorint(n)[, 1]);
A051904(n) = if((1==n), 0, vecmin(factor(n)[, 2]));
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CROSSREFS
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Cf. A001597, A001694, A005117, A007947, A013929, A047966, A051903, A051904, A052485, A062759, A066636, A066638, A072774, A304768, A354090.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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