A291270 - OEIS

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

%S 0,1,0,2,2,2,2,3,4,4,4,4,4,6,4,6,6,6,8,7,8,8,8,10,8,9,8,10,12,10,10,

%T 12,12,14,12,12,12,13,16,14,14,14,16,18,16,16,16,16,20,18,16,18,18,22,

%U 18,19,20,20,24,20,20,21,20,26,24,22,24,24,28

%N The arithmetic function v_4(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[4, n, 3], {n, 2, 70}]

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

%K nonn

%O 2,4

%A _Robert Price_, Aug 21 2017