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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A163399 a(n)=(the binary order of n)^sigma(n) 1
0, 1, 16, 128, 729, 531441, 6561, 14348907, 67108864, 68719476736, 16777216, 72057594037927936, 268435456, 281474976710656, 281474976710656, 4611686018427387904, 3814697265625, 1818989403545856475830078125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Here sigma(n)=the sum of the divisors of n and the binary order of n: log_2(n) rounded up to next integer.

LINKS

J. Mulder, Table of n, a(n) for n = 1..350

FORMULA

a(n)=A029837(n)^sigma(n).

EXAMPLE

a(1)=0^1=0, a(2)=1^3=1, a(3)=2^4=16.

MATHEMATICA

Array[Ceiling[Log2[ # ]]^DivisorSigma[1, # ] &, 350] [From Jasper Mulder (jasper.mulder(AT)planet.nl), Jun 03 2010]

CROSSREFS

Cf. A000005, A029837.

Sequence in context: A115977 A128692 A132136 * A067488 A308310 A120785

Adjacent sequences:  A163396 A163397 A163398 * A163400 A163401 A163402

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov, Jul 26 2009

EXTENSIONS

Corrected (243 replaced by 729, 6708864 by 67108864) and extended by R. J. Mathar, May 21 2010

Definition corrected by Jasper Mulder (jasper.mulder(AT)planet.nl), Jun 03 2010

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 October 17 12:14 EDT 2019. Contains 328111 sequences. (Running on oeis4.)