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A279542 Records in A192013: Sum_{d|n} Kronecker(-6, d). 4

%I #8 Nov 27 2017 00:24:27

%S 1,2,3,4,6,8,9,12,16,18,20,24,27,32,36,40,48,54,64,72,80,96,108,120,

%T 128,144,160,192,216,240,256,288,320,360,384,432,480,512,576,640,720,

%U 768,864,960,1024,1152,1280,1440,1536,1728,1920,2048,2304,2400,2560,2880,3072,3456,3840,4096

%N Records in A192013: Sum_{d|n} Kronecker(-6, d).

%H Charles R Greathouse IV, <a href="/A279542/b279542.txt">Table of n, a(n) for n = 1..400</a>

%F a(n) = A192013(A279541(n)) = A000005(A279541(n)).

%e Let (m|n) = Kronecker(m, n) be the Kronecker symbol.

%e A192013(1) = (-6|1) = 1 = a(1).

%e A192013(5) = (-6|1) + (-6|5) = 2 = a(2).

%e A192013(25) = (-6|1) + (-6|5) + (-6|25) = 3 = a(3).

%e A192013(35) = (-6|1) + (-6|5) + (-6|7) + (-35|1) = 4 = a(4).

%e A192013(175) = (-6|1) + (-6|5) + (-6|7) + (-6|25) + (-6|35) + (-6|175) = 6 = a(5).

%e A192013(385) = (-6|1) + (-6|5) + (-6|7) + (-6|11) + (-6|35) + (-6|55) + (-6|77) + (-6|385) = 8 = a(6).

%Y Cf. A192013, A279541, A109017, A000005.

%K nonn

%O 1,2

%A _Charles R Greathouse IV_, Dec 14 2016

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