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The arithmetic function v_5(n,1).
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%I #4 Aug 21 2017 22:12:48

%S 1,2,3,0,5,6,7,8,5,10,11,12,13,10,15,16,17,18,15,20,21,22,23,20,25,26,

%T 27,28,25,30,31,32,33,30,35,36,37,38,35,40,41,42,43,40,45,46,47,48,45,

%U 50,51,52,53,50,55,56,57,58,55,60,61,62,63,60,65,66,67,68,65

%N The arithmetic function v_5(n,1).

%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[5, n, 1], {n, 2, 70}]

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

%K nonn

%O 2,2

%A _Robert Price_, Aug 21 2017