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The arithmetic function v_3(n,6).
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%I #5 Aug 18 2017 10:56:51

%S 1,0,2,1,3,1,4,1,5,2,6,2,7,3,8,3,9,3,10,3,11,4,12,5,13,4,14,5,15,5,16,

%T 6,17,7,18,6,19,6,20,7,21,7,22,9,23,8,24,8,25,9,26,9,27,11,28,9,29,10,

%U 30,10,31,10,32,13,33,11,34,12,35

%N The arithmetic function v_3(n,6).

%D J. Butterworth, Examining the arithmetic function v_g(n,h). Research Papers in Mathematics, B. Bajnok, ed., Gettysburg College, Vol. 8 (2008).

%H Bela Bajnok, <a href="https://arxiv.org/abs/1705.07444">Additive Combinatorics: A Menu of Research Problems</a>, arXiv:1705.07444 [math.NT], May 2017. See Table in Section 1.6.1.

%t v[g_, n_, h_] := (d = Divisors[n]; Max[(Floor[(d - 1 - GCD[d, g])/h] + 1)*n/d]); Table[v[3, n, 6], {n, 2, 70}]

%Y Cf. A289435 - A289441.

%K nonn

%O 2,3

%A _Robert Price_, Aug 16 2017