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A194763 Number of k such that {k*2^(1/3)} > {n*2^(1/3)}, where { } = fractional part. 3
0, 0, 0, 3, 2, 1, 0, 6, 4, 2, 0, 9, 6, 3, 0, 12, 8, 4, 0, 15, 10, 5, 0, 18, 12, 6, 26, 19, 12, 5, 28, 20, 12, 4, 30, 21, 12, 3, 32, 22, 12, 2, 34, 23, 12, 1, 36, 24, 12, 0, 38, 25, 12, 52, 38, 24, 10, 53, 38, 23, 8, 54, 38, 22, 6, 55, 38, 21, 4, 56, 38, 20, 2, 57, 38, 19, 76 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

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

MATHEMATICA

r = 2^(1/3); 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}]  (* A194762 *)

Table[t[n], {n, 1, 100}]  (* A194763 *)

CROSSREFS

Cf. A194762, A194738.

Sequence in context: A279318 A084269 A051427 * A194741 A194753 A323908

Adjacent sequences:  A194760 A194761 A194762 * A194764 A194765 A194766

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 02 2011

STATUS

approved

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Last modified May 12 02:23 EDT 2021. Contains 343808 sequences. (Running on oeis4.)