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The arithmetic function v_6(n,2).
0

%I #4 Aug 21 2017 22:13:05

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

%T 15,15,16,17,15,18,18,18,19,20,18,21,21,21,22,23,21,24,24,24,25,26,24,

%U 27,27,27,28,29,27,30,30,30,31,32,30,33,33,33,34

%N The arithmetic function v_6(n,2).

%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[6, n, 2], {n, 2, 70}]

%Y Cf. A289435, A289436, A289437, A289438, A289439, A289440, A289441.

%K nonn

%O 2,4

%A _Robert Price_, Aug 21 2017