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Search: id:A135872
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| A135872 |
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Multiply the positive integers which are coprime to n in order (starting at 1). a(n) is the smallest such partial product that is >= n. |
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2
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| 1, 3, 8, 15, 6, 35, 24, 15, 40, 21, 24, 35, 24, 15, 56, 105, 24, 35, 24, 21, 40, 105, 24, 35, 144, 105, 40, 135, 120, 77, 120, 105, 40, 105, 144, 385, 120, 105, 40, 189, 120, 55, 120, 105, 56, 105, 120, 385, 120, 189, 280, 105, 120, 385, 144, 135, 280, 105, 120
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OFFSET
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1,2
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EXAMPLE
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The positive integers which are coprime to 9 begin: 1,2,4,5,7,8,10,11,... Checking the partial products: 1=1, 1*2=2, 1*2*4 = 8, 1*2*4*5 =40,... 40 is the smallest such partial product which is >= 9. So a(9) = 40.
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MATHEMATICA
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a = {}; For[n = 1, n < 60, n++, p = 1; i = 1; While[p < n, i++; If[GCD[i, n] == 1, p = p*i]]; AppendTo[a, p]]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 06 2008
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CROSSREFS
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Cf. A135873.
Adjacent sequences: A135869 A135870 A135871 this_sequence A135873 A135874 A135875
Sequence in context: A123329 A129067 A005735 this_sequence A045263 A004733 A051210
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Dec 03 2007
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 06 2008
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