

A194753


Number of k such that {k*e} > {n*e}, where { } = fractional part.


3



0, 0, 0, 3, 2, 1, 0, 6, 4, 2, 10, 7, 4, 1, 12, 8, 4, 17, 12, 7, 2, 18, 12, 6, 24, 17, 10, 3, 24, 16, 8, 31, 22, 13, 4, 30, 20, 10, 0, 29, 18, 7, 38, 26, 14, 2, 36, 23, 10, 46, 32, 18, 4, 43, 28, 13, 54, 38, 22, 6, 50, 33, 16, 62, 44, 26, 8, 57, 38, 19, 70, 50, 30, 10, 64
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OFFSET

1,4


LINKS

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


MATHEMATICA

r = E; 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}] (* A194752 *)
Table[t[n], {n, 1, 100}] (* A194753 *)


CROSSREFS

Cf. A194752.
Sequence in context: A051427 A194763 A194741 * A098825 A111460 A035327
Adjacent sequences: A194750 A194751 A194752 * A194754 A194755 A194756


KEYWORD

nonn


AUTHOR

Clark Kimberling, Sep 02 2011


STATUS

approved



