

A194746


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


3



1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 11, 5, 11, 4, 11, 3, 11, 2, 11, 20, 9, 19, 7, 18, 5, 17, 3, 16, 1, 15, 29, 12, 27, 9, 25, 6, 23, 3, 21, 39, 17, 36, 13, 33, 9, 30, 5, 27, 1, 24, 47, 19, 43, 14, 39, 9, 35, 4, 31, 58, 25, 53, 19, 48, 13, 43, 7, 38, 1, 33, 65, 26, 59, 19, 53, 12
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OFFSET

1,2


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. A194747, A194738.
Sequence in context: A090331 A229994 A165818 * A198336 A290980 A007381
Adjacent sequences: A194743 A194744 A194745 * A194747 A194748 A194749


KEYWORD

nonn


AUTHOR

Clark Kimberling, Sep 02 2011


STATUS

approved



