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!)
A233203 Floor(n^n / 2^n). 2
1, 0, 1, 3, 16, 97, 729, 6433, 65536, 756680, 9765625, 139312339, 2176782336, 36972058910, 678223072849, 13363461010158, 281474976710656, 6311342330065435, 150094635296999121, 3773536025353076151, 100000000000000000000, 2785962590401641140642, 81402749386839761113321 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = floor((n/2)^n).

EXAMPLE

a(5) = floor(5^5 / 2^5) = floor(3125 / 32) = 97.

MAPLE

A233203:=n->floor((n/2)^n); seq(A233203(n), n=0..30); # Wesley Ivan Hurt, Feb 26 2014

MATHEMATICA

Table[Floor[(n/2)^n], {n, 0, 30}] (* Wesley Ivan Hurt, Feb 26 2014 *)

PROG

(Python)

for n in range(33):  print str(n**n >> n)+', ',

CROSSREFS

Cf. A000079, A000312, A178537 (n^n mod 2^n for odd n), A206344.

Bisection gives: A062206 (even part).

Sequence in context: A157016 A228792 A295810 * A074553 A303831 A193037

Adjacent sequences:  A233200 A233201 A233202 * A233204 A233205 A233206

KEYWORD

nonn

AUTHOR

Alex Ratushnyak, Dec 05 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 February 22 15:26 EST 2020. Contains 332137 sequences. (Running on oeis4.)