A291305 The arithmetic function v_5(n,1).

1, 2, 3, 0, 5, 6, 7, 8, 5, 10, 11, 12, 13, 10, 15, 16, 17, 18, 15, 20, 21, 22, 23, 20, 25, 26, 27, 28, 25, 30, 31, 32, 33, 30, 35, 36, 37, 38, 35, 40, 41, 42, 43, 40, 45, 46, 47, 48, 45, 50, 51, 52, 53, 50, 55, 56, 57, 58, 55, 60, 61, 62, 63, 60, 65, 66, 67, 68, 65

Offset

2,2

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[5, n, 1], {n, 2, 70}]

Crossrefs

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

Sequence in context: A325314 A322953 A049268 * A004179 A324640 A364574

Adjacent sequences: A291302 A291303 A291304 * A291306 A291307 A291308

Keyword

nonn

Author

Robert Price, Aug 21 2017

Status

approved