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A290979 The arithmetic function v_2(n,6). 0

%I

%S 0,1,1,1,2,1,2,3,2,2,4,2,2,5,4,3,6,3,5,7,4,4,8,5,4,9,7,5,10,5,8,11,6,

%T 7,12,6,6,13,10,7,14,7,11,15,8,8,16,8,10,17,13,9,18,11,14,19,10,10,20,

%U 10,10,21,16,13,22,11,17,23,14,12,24,12,12,25,19,14,26

%N The arithmetic function v_2(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[2, n, 6], {n, 2, 70}]

%t a[n_]:=n Max[Table[(Floor[(d - 1 - GCD[d, 2])/6] + 1)/d, {d, Divisors[n]}]]; Table[a[n], {n, 2, 100}] (* _Vincenzo Librandi_, Aug 19 2017 *)

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

%K nonn

%O 2,5

%A _Robert Price_, Aug 16 2017

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Last modified June 20 09:12 EDT 2019. Contains 324234 sequences. (Running on oeis4.)