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A089509 a(n) = Kronecker(7/n). 6

%I #23 Sep 08 2022 08:45:12

%S 1,1,1,1,-1,1,0,1,1,-1,-1,1,-1,0,-1,1,-1,1,1,-1,0,-1,-1,1,1,-1,1,0,1,

%T -1,1,1,-1,-1,0,1,1,1,-1,-1,-1,0,-1,-1,-1,-1,1,1,0,1,-1,-1,1,1,1,0,1,

%U 1,1,-1,-1,1,0,1,1,-1,-1,-1,-1,0,-1,1,-1,1,1,1,0,-1,-1,-1,1,-1,1,0,1,-1,1,-1,-1,-1,0,-1,1,1,-1,1,-1,0,-1,1,-1,-1,1,-1,0,1

%N a(n) = Kronecker(7/n).

%H Vincenzo Librandi, <a href="/A089509/b089509.txt">Table of n, a(n) for n = 1..1000</a>

%H Jean-Paul Allouche, Leo Goldmakher, <a href="http://arxiv.org/abs/1608.03957">Mock characters and the Kronecker symbol</a>, arXiv:1608.03957 [math.NT], 2016.

%F if n==0 (mod 7) a(n)=0; for p in=A003632 a(p)=-1; for p in A038878 a(p)=+1

%t Table[KroneckerSymbol[7, n], {n, 100}] (* _Vincenzo Librandi_, Aug 16 2016 *)

%o (PARI) a(n)=kronecker(7,n)

%o (Magma) [KroneckerSymbol(7,n): n in [1..100]]; // _Vincenzo Librandi_, Aug 16 2016

%Y Cf. A091338, A080891.

%K sign,mult

%O 1,1

%A _Benoit Cloitre_, Jan 03 2004

%E Keyword:mult added by _Andrew Howroyd_, Jul 23 2018

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Last modified August 31 09:59 EDT 2024. Contains 375560 sequences. (Running on oeis4.)