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A291273 The arithmetic function v_5(n,3). 0

%I #4 Aug 21 2017 22:12:33

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

%T 16,12,17,10,18,12,19,13,20,14,21,14,22,15,23,16,24,16,25,18,26,18,27,

%U 20,28,19,29,20,30,20,31,21,32,20,33,22,34,24,35

%N The arithmetic function v_5(n,3).

%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, 3], {n, 2, 70}]

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

%K nonn

%O 2,3

%A _Robert Price_, Aug 21 2017

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