A289186 The arithmetic function v_4(n,5).

0, 1, 0, 1, 2, 2, 1, 3, 2, 2, 4, 3, 4, 5, 3, 4, 6, 4, 4, 7, 4, 5, 8, 5, 6, 9, 8, 6, 10, 6, 6, 11, 8, 10, 12, 8, 8, 13, 8, 8, 14, 9, 8, 15, 10, 10, 16, 14, 10, 17, 12, 11, 18, 11, 16, 19, 12, 12, 20, 12, 12, 21, 12, 15, 22, 14, 16, 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[4, n, 5], {n, 2, 70}]
a[n_]:=n*Max[Table[(Floor[(d - 1 - GCD[d, 4])/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: A112221 A266697 A264402 * A130816 A109951 A116608

Adjacent sequences: A289183 A289184 A289185 * A289187 A289188 A289189

Keyword

nonn

Author

Robert Price, Aug 16 2017

Status

approved