A291273 - OEIS

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A291273

The arithmetic function v_5(n,3).

1, 1, 2, 0, 3, 2, 4, 3, 5, 4, 6, 4, 7, 5, 8, 6, 9, 6, 10, 7, 11, 8, 12, 7, 13, 9, 14, 10, 15, 10, 16, 12, 17, 10, 18, 12, 19, 13, 20, 14, 21, 14, 22, 15, 23, 16, 24, 16, 25, 18, 26, 18, 27, 20, 28, 19, 29, 20, 30, 20, 31, 21, 32, 20, 33, 22, 34, 24, 35

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OFFSET

2,3

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, 3], {n, 2, 70}]

CROSSREFS

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