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A290982 The arithmetic function v_5(n,6). 0

%I

%S 1,1,2,0,3,1,4,3,5,2,6,2,7,5,8,3,9,3,10,7,11,4,12,4,13,9,14,5,15,5,16,

%T 11,17,5,18,6,19,13,20,7,21,7,22,15,23,8,24,8,25,17,26,9,27,10,28,19,

%U 29,10,30,10,31,21,32,10,33,11,34,23,35

%N The arithmetic function v_5(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[5, n, 6], {n, 2, 70}]

%t a[n_]:=n Max[Table[(Floor[(d - 1 - GCD[d, 5])/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 2,3

%A _Robert Price_, Aug 16 2017

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Last modified October 23 12:19 EDT 2019. Contains 328345 sequences. (Running on oeis4.)