login
A290978
The arithmetic function v_2(n,5).
0
0, 1, 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 5, 4, 4, 6, 4, 5, 7, 4, 5, 8, 5, 6, 9, 8, 6, 10, 6, 8, 11, 8, 10, 12, 8, 8, 13, 10, 8, 14, 9, 11, 15, 10, 10, 16, 14, 10, 17, 13, 11, 18, 11, 16, 19, 12, 12, 20, 12, 12, 21, 16, 15, 22, 14, 17, 23, 20
OFFSET
2,5
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[2, n, 5], {n, 2, 70}]
a[n_]:=n Max[Table[(Floor[(d - 1 - GCD[d, 2])/5] + 1)/d, {d, Divisors[n]}]]; Table[a[n], {n, 2, 100}] (* Vincenzo Librandi, Aug 17 2017 *)
KEYWORD
nonn
AUTHOR
Robert Price, Aug 16 2017
STATUS
approved