A291308 The arithmetic function v_6(n,3).

0, 0, 1, 2, 0, 2, 2, 2, 4, 4, 3, 4, 4, 6, 5, 6, 4, 6, 8, 6, 8, 8, 6, 10, 8, 8, 9, 10, 12, 10, 10, 12, 12, 14, 10, 12, 12, 12, 16, 14, 12, 14, 16, 18, 16, 16, 15, 16, 20, 18, 17, 18, 16, 22, 18, 18, 20, 20, 24, 20, 20, 20, 21, 26, 24, 22, 24, 24, 28

Offset

2,4

References

J. Butterworth, Examining the arithmetic function v_g(n,h). Research Papers in Mathematics, B. Bajnok, ed., Gettysburg College, Vol. 8 (2008).

Links

Table of n, a(n) for n=2..70.

Bela Bajnok, Additive Combinatorics: A Menu of Research Problems, arXiv:1705.07444 [math.NT], May 2017. See Table in Section 1.6.1.

Mathematica

v[g_, n_, h_] := (d = Divisors[n]; Max[(Floor[(d - 1 - GCD[d, g])/h] + 1)*n/d]); Table[v[6, n, 3], {n, 2, 70}]

Crossrefs

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

Sequence in context: A261153 A199123 A325589 * A207944 A063088 A101276

Adjacent sequences: A291305 A291306 A291307 * A291309 A291310 A291311

Keyword

nonn

Author

Robert Price, Aug 21 2017

Status

approved