A290983 The arithmetic function v_6(n,6).

0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 3, 2, 2, 3, 4, 3, 2, 3, 5, 3, 4, 4, 6, 5, 4, 4, 7, 5, 6, 5, 8, 6, 6, 7, 9, 6, 6, 6, 10, 7, 6, 7, 11, 9, 8, 8, 12, 8, 10, 9, 13, 9, 8, 11, 14, 9, 10, 10, 15, 10, 10, 10, 16, 13, 12, 11, 17, 12, 14

Offset

2,7

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, 6], {n, 2, 70}]
a[n_]:=n Max[Table[(Floor[(d - 1 - GCD[d, 6])/6] + 1)/d, {d, Divisors[n]}]]; Table[a[n], {n, 2, 100}] (* Vincenzo Librandi, Aug 19 2017 *)

Crossrefs

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

Sequence in context: A326370 A137735 A365576 * A272887 A143966 A260617

Adjacent sequences: A290980 A290981 A290982 * A290984 A290985 A290986

Keyword

nonn

Author

Robert Price, Aug 16 2017

Status

approved