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A291268
The arithmetic function v_3(n,2).
0
1, 0, 2, 2, 3, 3, 4, 3, 5, 5, 6, 6, 7, 6, 8, 8, 9, 9, 10, 9, 11, 11, 12, 12, 13, 12, 14, 14, 15, 15, 16, 15, 17, 17, 18, 18, 19, 18, 20, 20, 21, 21, 22, 21, 23, 23, 24, 24, 25, 24, 26, 26, 27, 27, 28, 27, 29, 29, 30, 30, 31, 30, 32, 32, 33, 33, 34, 33, 35
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
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[3, n, 2], {n, 2, 70}]
KEYWORD
nonn
AUTHOR
Robert Price, Aug 21 2017
STATUS
approved