login
A291306
The arithmetic function v_6(n,1).
0
0, 0, 2, 4, 0, 6, 6, 6, 8, 10, 6, 12, 12, 12, 14, 16, 12, 18, 18, 18, 20, 22, 18, 24, 24, 24, 26, 28, 24, 30, 30, 30, 32, 34, 30, 36, 36, 36, 38, 40, 36, 42, 42, 42, 44, 46, 42, 48, 48, 48, 50, 52, 48, 54, 54, 54, 56, 58, 54, 60, 60, 60, 62, 64, 60, 66, 66, 66, 68
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[6, n, 1], {n, 2, 70}]
KEYWORD
nonn
AUTHOR
Robert Price, Aug 21 2017
STATUS
approved