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A074226
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Numbers n such that Kronecker(3,n) = 1.
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1
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1, 4, 10, 11, 13, 14, 16, 23, 25, 34, 35, 37, 38, 40, 44, 47, 49, 52, 56, 58, 59, 61, 62, 64, 71, 73, 82, 83, 85, 86, 92, 95, 97, 100, 106, 107, 109, 110, 119, 121, 130, 131, 133, 134, 136, 140, 143, 145, 148, 152, 154, 155, 157, 158, 160, 167, 169, 176, 178, 179
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OFFSET
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0,2
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COMMENTS
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Numbers n such that Kronecker(3, n) = mu(gcd(n, 3)).
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LINKS
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Indranil Ghosh, Table of n, a(n) for n = 0..1665
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FORMULA
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a(n) seems to be asymptotic to c*n with c=3. - Benoit Cloitre, Sep 18 2002
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MATHEMATICA
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Select[Range@ 180, KroneckerSymbol[3, #]== 1 &] (* Indranil Ghosh, Mar 16 2017 *)
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PROG
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(PARI) for (x=1, 200, for (y=1, 200, if (kronecker(x, y)==moebius(gcd(x, y)), write("km.txt", x, "; ", y, " : ", kronecker(x, y)))))
(PARI) is(n)=kronecker(3, n)>0 \\ Charles R Greathouse IV, Apr 06 2012
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CROSSREFS
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Cf. A074227, A047209, A074229.
Sequence in context: A244216 A240580 A102535 * A106631 A120261 A310338
Adjacent sequences: A074223 A074224 A074225 * A074227 A074228 A074229
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KEYWORD
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nonn
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AUTHOR
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Jon Perry, Sep 17 2002
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EXTENSIONS
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Definition simplified by Charles R Greathouse IV, Apr 06 2012
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STATUS
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approved
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