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A174282
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a(n) = 3^n mod M(n) where M(n) = A014963(n) is the exponential of the Mangoldt function.
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1
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0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0
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OFFSET
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1,1
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COMMENTS
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Appears to be always either 0 or 1.
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LINKS
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FORMULA
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a(n) = 1 if n = p^k for k > 0 and p a prime not equal to 3, a(n) = 0 otherwise. - Charles R Greathouse IV, Feb 13 2011
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MATHEMATICA
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f[n_] := PowerMod[3, n - 1, Exp@ MangoldtLambda@ n]; Array[f, 105] (* Robert G. Wilson v, Jan 22 2015 *)
Table[mod[3^(n-1) , e^(MangoldtLambda[n]) ], {n, 1, 100}] (* G. C. Greubel, Nov 25 2015 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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