A291305 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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.