login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A219087 Floor((n + 1/2)^(4/3)]). 2
0, 1, 3, 5, 7, 9, 12, 14, 17, 20, 22, 25, 29, 32, 35, 38, 42, 45, 48, 52, 56, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 112, 116, 121, 125, 130, 134, 139, 143, 148, 152, 157, 162, 167, 172, 176, 181, 186, 191, 196, 201, 206, 211, 216, 221, 227 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) is the number k such that {k^p} < 1/2 < {(k+1)^p}, where p = 3/4 and { } = fractional part.  Equivalently, the jump sequence of f(x) = x^(3/4), in the sense that these are the nonnegative integers k for which round(k^p) < round((k+1)^p).  For details and a guide to related sequences, see A219085.

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = [(n + 1/2)^(4/3)].

MATHEMATICA

Table[Floor[(n + 1/2)^(4/3)], {n, 0, 100}]

CROSSREFS

Cf.  A219085, A219086.

Sequence in context: A082767 A047932 A139130 * A186705 A072154 A309269

Adjacent sequences:  A219084 A219085 A219086 * A219088 A219089 A219090

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jan 01 2013

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 19 09:23 EDT 2021. Contains 345126 sequences. (Running on oeis4.)