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A088032
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Smallest number k such that k^n -1 is divisible by an n-th power. a(n) = A088031(n)^(1/n).
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1
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3, 3, 9, 3, 33, 31, 129, 31, 513, 511, 2049, 1023, 8193, 8191, 32769, 4095, 131073, 131071, 524289, 262143
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| For 2 < n < 18, if n is odd then a(n) = 2^n+1 and if n is even then a(n) = 2^(n-A007814(n))-1. - David Wasserman (wasserma(AT)spawar.navy.mil), Jun 21 2005
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EXAMPLE
| a(4) = 81 = 3^4 and 81-1 = 80 == 0 (mod 2^4).
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CROSSREFS
| Cf. A088031.
Sequence in context: A068219 A157031 A113213 * A066572 A104195 A062131
Adjacent sequences: A088029 A088030 A088031 * A088033 A088034 A088035
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KEYWORD
| more,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 19 2003
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EXTENSIONS
| Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 04 2003
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 21 2005
More terms from Ryan Propper (rpropper(AT)stanford.edu), Jul 21 2006
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