login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A194762 Number of k such that {k*2^(1/3)} < {n*2^(1/3)}, where { } = fractional part. 3
1, 2, 3, 1, 3, 5, 7, 2, 5, 8, 11, 3, 7, 11, 15, 4, 9, 14, 19, 5, 11, 17, 23, 6, 13, 20, 1, 9, 17, 25, 3, 12, 21, 30, 5, 15, 25, 35, 7, 18, 29, 40, 9, 21, 33, 45, 11, 24, 37, 50, 13, 27, 41, 2, 17, 32, 47, 5, 21, 37, 53, 8, 25, 42, 59, 11, 29, 47, 65, 14, 33, 52, 71, 17, 37 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

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. A194763, A194738.

Sequence in context: A162609 A194752 A194740 * A054250 A193923 A198811

Adjacent sequences:  A194759 A194760 A194761 * A194763 A194764 A194765

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 02 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 10 00:24 EST 2016. Contains 278993 sequences.