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The arithmetic function v+-(n,4).
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%I #4 Aug 23 2017 09:43:07

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

%T 11,17,9,18,9,19,13,20,9,21,11,22,15,23,11,24,11,25,17,26,13,27,15,28,

%U 19,29,15,30,15,31,21,32,15,33,17,34,23,35

%N The arithmetic function v+-(n,4).

%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 Section 1.6.2.

%t vpm[n_, h_] := (d = Divisors[n]; Max[(2*Floor[(d - 2)/(2*h)] + 1)*n/d]); Table[vpm[n, 4], {n, 2, 70}]

%Y Cf. A289435, A289436, A289437, A289438, A289439, A289440, A289441, A290988.

%K nonn

%O 2,3

%A _Robert Price_, Aug 22 2017