The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A062278 a(n) = floor(3^n / n^3). 3
3, 1, 1, 1, 1, 3, 6, 12, 27, 59, 133, 307, 725, 1743, 4251, 10509, 26285, 66430, 169450, 435848, 1129505, 2947131, 7737583, 20430377, 54226471, 144621405, 387420489, 1042127936, 2813988985, 7625597484, 20733556989, 56549688380 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
3 is the only integer value of k for which floor(n^k / k^n) is always positive. For positive real x and k, the only value of k for which x^k is always greater than or equal to k^x is e = 2.71828...
LINKS
EXAMPLE
a(2) = floor(3^2 / 2^3) = floor(9/8) = 1.
MAPLE
seq(floor(3^n/n^3), n=1..35); # Muniru A Asiru, Jul 01 2018
MATHEMATICA
Table[Floor[3^n/n^3], {n, 40}] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *)
PROG
(PARI) { default(realprecision, 50); for (n=1, 200, write("b062278.txt", n, " ", floor(3^n / n^3)) ) } \\ Harry J. Smith, Aug 03 2009
(GAP) List([1..35], n->Int(3^n/n^3)); # Muniru A Asiru, Jul 01 2018
CROSSREFS
Sequence in context: A366789 A027023 A052371 * A260638 A268523 A195768
KEYWORD
nonn
AUTHOR
Henry Bottomley, Jul 02 2001
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 20 21:47 EDT 2024. Contains 372720 sequences. (Running on oeis4.)