A290978 The arithmetic function v_2(n,5).

0, 1, 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 5, 4, 4, 6, 4, 5, 7, 4, 5, 8, 5, 6, 9, 8, 6, 10, 6, 8, 11, 8, 10, 12, 8, 8, 13, 10, 8, 14, 9, 11, 15, 10, 10, 16, 14, 10, 17, 13, 11, 18, 11, 16, 19, 12, 12, 20, 12, 12, 21, 16, 15, 22, 14, 17, 23, 20

Offset

2,5

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[2, n, 5], {n, 2, 70}]
a[n_]:=n Max[Table[(Floor[(d - 1 - GCD[d, 2])/5] + 1)/d, {d, Divisors[n]}]]; Table[a[n], {n, 2, 100}] (* Vincenzo Librandi, Aug 17 2017 *)

Crossrefs

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

Sequence in context: A226182 A099774 A305973 * A142240 A284565 A227911

Adjacent sequences: A290975 A290976 A290977 * A290979 A290980 A290981

Keyword

nonn

Author

Robert Price, Aug 16 2017

Status

approved