A291310 The arithmetic function v_6(n,5).

0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 3, 3, 4, 3, 4, 4, 4, 4, 5, 6, 4, 5, 6, 5, 6, 6, 8, 6, 6, 6, 8, 6, 8, 10, 9, 8, 8, 9, 10, 8, 12, 9, 11, 10, 10, 10, 12, 14, 10, 12, 13, 11, 12, 11, 16, 12, 12, 12, 15, 12, 12, 18, 16, 15, 12, 14, 17, 15, 20

Offset

2,6

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, 5], {n, 2, 70}]

Crossrefs

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

Sequence in context: A301507 A005861 A238457 * A336014 A304884 A286707

Adjacent sequences: A291307 A291308 A291309 * A291311 A291312 A291313

Keyword

nonn

Author

Robert Price, Aug 21 2017

Status

approved