

A194761


Number of k such that {k*log(2)} > {n*log(2)}, where { } = fractional part.


3



0, 0, 0, 3, 2, 1, 6, 4, 2, 9, 6, 3, 0, 10, 6, 2, 14, 9, 4, 18, 12, 6, 22, 15, 8, 1, 20, 12, 4, 25, 16, 7, 30, 20, 10, 35, 24, 13, 2, 30, 18, 6, 36, 23, 10, 42, 28, 14, 48, 33, 18, 3, 40, 24, 8, 47, 30, 13, 54, 36, 18, 61, 42, 23, 4, 50, 30, 10, 58, 37, 16, 66, 44, 22, 74
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OFFSET

1,4


LINKS

Table of n, a(n) for n=1..75.


MATHEMATICA

r = Log[2]; 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}] (* A194760 *)
Table[t[n], {n, 1, 100}] (* A194761 *)


CROSSREFS

Cf. A194760, A194738.
Sequence in context: A102189 A031252 A208152 * A129674 A120771 A115094
Adjacent sequences: A194758 A194759 A194760 * A194762 A194763 A194764


KEYWORD

nonn


AUTHOR

Clark Kimberling, Sep 02 2011


STATUS

approved



