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A159353
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a(n) = the smallest positive integer such that a(n) *(2^n -2) is a multiple of n.
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5
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1, 1, 1, 2, 1, 3, 1, 4, 3, 5, 1, 6, 1, 7, 5, 8, 1, 9, 1, 10, 7, 11, 1, 12, 5, 13, 9, 2, 1, 15, 1, 16, 11, 17, 35, 18, 1, 19, 13, 20, 1, 21, 1, 22, 3, 23, 1, 24, 7, 25, 17, 26, 1, 27, 55, 28, 19, 29, 1, 30, 1, 31, 21, 32, 13, 33, 1, 34, 23, 5, 1, 36, 1, 37, 25, 38, 77, 39, 1, 40, 27, 41, 1, 42
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OFFSET
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1,4
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COMMENTS
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This is not the same sequence as sequence A032742, where A032742(n) = the largest proper divisor of n. See A146077 for numbers n such that the sequences A032742 and A159353 differ.
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LINKS
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FORMULA
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MATHEMATICA
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Array[Block[{k = 1}, While[! Divisible[k (2^# - 2), #], k++]; k] &, 84] (* Michael De Vlieger, Oct 30 2017 *)
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PROG
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(PARI) a(n)=my(k=1); while((2^n-2)*k%n != 0, k++); return(k) \\ Edward Jiang, Sep 09 2014
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CROSSREFS
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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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