login
The arithmetic function v_6(n,4).
0

%I #4 Aug 21 2017 22:13:20

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

%T 9,9,10,9,10,10,12,11,12,11,12,12,12,14,12,12,13,13,12,15,16,15,14,15,

%U 15,15,16,18,16,16,18,17,17,18,20

%N The arithmetic function v_6(n,4).

%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[6, n, 4], {n, 2, 70}]

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

%K nonn

%O 2,6

%A _Robert Price_, Aug 21 2017