

A194747


Number of k such that {k*sqrt(6)} > {n*sqrt(6)}, where { } = fractional part.


3



0, 0, 2, 1, 4, 2, 6, 3, 8, 4, 0, 7, 2, 10, 4, 13, 6, 16, 8, 0, 12, 3, 16, 6, 20, 9, 24, 12, 28, 15, 2, 20, 6, 25, 10, 30, 14, 35, 18, 1, 24, 6, 30, 11, 36, 16, 42, 21, 48, 26, 4, 33, 10, 40, 16, 47, 22, 54, 28, 2, 36, 9, 44, 16, 52, 23, 60, 30, 68, 37, 6, 46, 14, 55, 22, 64
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OFFSET

1,3


LINKS

Table of n, a(n) for n=1..76.


MATHEMATICA

r = Sqrt[6]; p[x_] := FractionalPart[x];
u[n_, k_] := If[p[k*r] <= p[n*r], 1, 0]
v[n_, k_] := If[p[k*r] > p[n*r], 1, 0]
s[n_] := Sum[u[n, k], {k, 1, n}]
t[n_] := Sum[v[n, k], {k, 1, n}]
Table[s[n], {n, 1, 100}] (* A194746 *)
Table[t[n], {n, 1, 100}] (* A194747 *)


CROSSREFS

Cf. A194746, A194738.
Sequence in context: A130742 A130107 A107130 * A065423 A239242 A008733
Adjacent sequences: A194744 A194745 A194746 * A194748 A194749 A194750


KEYWORD

nonn


AUTHOR

Clark Kimberling, Sep 02 2011


STATUS

approved



