A074226 - OEIS

A074226

Numbers n such that Kronecker(3,n) = 1.

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

1,2

COMMENTS

Numbers n such that Kronecker(3, n) = mu(gcd(n, 3)).

LINKS

Indranil Ghosh, Table of n, a(n) for n = 1..1666

FORMULA

a(n) seems to be asymptotic to c*n with c=3. - Benoit Cloitre, Sep 18 2002

MATHEMATICA

Select[Range@ 180, KroneckerSymbol[3, #]== 1 &] (* Indranil Ghosh, Mar 16 2017 *)

PROG

(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

CROSSREFS

Cf. A074227, A047209, A074229.

Sequence in context: A244216 A240580 A102535 * A106631 A120261 A310338

Adjacent sequences: A074223 A074224 A074225 * A074227 A074228 A074229

KEYWORD

nonn

AUTHOR

Jon Perry, Sep 17 2002

EXTENSIONS

Definition simplified by Charles R Greathouse IV, Apr 06 2012

Offset changed by Sean A. Irvine, Jan 14 2025

STATUS

approved