A289187 The arithmetic function v_1(n,6).

1, 1, 2, 1, 3, 1, 4, 3, 5, 2, 6, 2, 7, 5, 8, 3, 9, 3, 10, 7, 11, 4, 12, 5, 13, 9, 14, 5, 15, 5, 16, 11, 17, 7, 18, 6, 19, 13, 20, 7, 21, 7, 22, 15, 23, 8, 24, 8, 25, 17, 26, 9, 27, 11, 28, 19, 29, 10, 30, 10, 31, 21, 32, 13, 33, 11, 34, 23, 35

Offset: 2

Author

Robert Price, Aug 16 2017

Keywords

• nonn

References

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

Links

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

Crossrefs

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

Programs

Mathematica

v[g_, n_, h_] := (d = Divisors[n]; Max[(Floor[(d - 1 - GCD[d, g])/h] + 1)*n/d]); Table[v[1, n, 6], {n, 2, 70}]
a[n_]:=n Max[Table[(Floor[(d - 1 - GCD[d, 1])/6] + 1)/d, {d, Divisors[n]}]]; Table[a[n], {n, 2, 100}] (* Vincenzo Librandi, Aug 17 2017 *)