

A194760


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


3



1, 2, 3, 1, 3, 5, 1, 4, 7, 1, 5, 9, 13, 4, 9, 14, 3, 9, 15, 2, 9, 16, 1, 9, 17, 25, 7, 16, 25, 5, 15, 25, 3, 14, 25, 1, 13, 25, 37, 10, 23, 36, 7, 21, 35, 4, 19, 34, 1, 17, 33, 49, 13, 30, 47, 9, 27, 45, 5, 24, 43, 1, 21, 41, 61, 16, 37, 58, 11, 33, 55, 6, 29, 52, 1, 25, 49
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..77.


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. A194761.
Sequence in context: A214582 A050375 A154722 * A035517 A099471 A243574
Adjacent sequences: A194757 A194758 A194759 * A194761 A194762 A194763


KEYWORD

nonn


AUTHOR

Clark Kimberling, Sep 02 2011


STATUS

approved



