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A291782
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Let f_k(n) be the result of applying phi (the Euler totient function A000010) k times to n; a(n) = n*Product_{k=1..oo} f_k(n).
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1
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1, 2, 6, 8, 40, 12, 84, 64, 108, 80, 880, 96, 1248, 168, 960, 1024, 17408, 216, 4104, 1280, 2016, 1760, 40480, 1536, 32000, 2496, 5832, 2688, 77952, 1920, 59520, 32768, 42240, 34816, 53760, 3456, 127872, 8208, 59904, 40960, 1679360, 4032, 173376, 56320
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OFFSET
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1,2
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COMMENTS
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The logarithmic scatterplot of this sequence shows a banded structure similar to that of A092694. - Rémy Sigrist, Sep 03 2017
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LINKS
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FORMULA
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EXAMPLE
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Under phi, 7 -> 6 -> 2 -> 1, so a(7) = 7*6*2 = 84.
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MATHEMATICA
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Table[Times @@ FixedPointList[EulerPhi, n], {n, 44}] (* Michael De Vlieger, Sep 03 2017 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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