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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 (list; graph; refs; listen; history; text; internal format)
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 A121775

Adjacent sequences:  A194757 A194758 A194759 * A194761 A194762 A194763

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 02 2011

STATUS

approved

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Last modified April 24 10:30 EDT 2014. Contains 240983 sequences.