

A194749


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


3



0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 10, 4, 10, 3, 10, 2, 10, 1, 10, 19, 8, 18, 6, 17, 4, 16, 2, 15, 0, 14, 28, 11, 26, 8, 24, 5, 22, 2, 20, 38, 16, 35, 12, 32, 8, 29, 4, 26, 0, 23, 46, 18, 42, 13, 38, 8, 34, 3, 30, 57, 24, 52, 18, 47, 12, 42, 6, 37, 0, 32, 64, 25, 58, 18, 52, 11
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OFFSET

1,4


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}] (* A194748 *)
Table[t[n], {n, 1, 100}] (* A194749 *)


CROSSREFS

Cf. A194748, A194738.
Sequence in context: A008802 A008809 A008821 * A096234 A284969 A097852
Adjacent sequences: A194746 A194747 A194748 * A194750 A194751 A194752


KEYWORD

nonn


AUTHOR

Clark Kimberling, Sep 02 2011


STATUS

approved



