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Positive integers that can be expressed in the form (a*2^a)/(b*2^b) where a and b are positive integers.
(history; published version)
#9 by Jon E. Schoenfield at Sat Mar 14 17:58:01 EDT 2015
STATUS

editing

approved

#8 by Jon E. Schoenfield at Sat Mar 14 17:57:58 EDT 2015
EXAMPLE

12 is a member because 12 = (3*2^3)/(1*2^1) = (9*2^9)/(6*2^6). Entries which are generated in two or more different ways are 1,12,20,32,48,72,80,112,160,192,256,576,768,..., . - _Robert G. Wilson v _, May 10 2006.

MATHEMATICA

lst = {1}; Do[ If[ (Log[10, a] + a*Log[10, 2]) - (Log[10, b] + b*Log[10, 2]) < 3 && IntegerQ[(a*2^a)/(b*2^b)], AppendTo[lst, (a*2^a)/(b*2^b)]; Print[(a*2^a)/(b*2^b)]], {a, 4620}, {b, Max[1, a - 9(* =Log[2, 10^3] *)], a-1}]; lst (from _* _Robert G. Wilson v_, May 10 2006 *)

STATUS

approved

editing

#7 by Charles R Greathouse IV at Sat Jul 14 11:40:53 EDT 2012
MATHEMATICA

lst = {1}; Do[ If[ (Log[10, a] + a*Log[10, 2]) - (Log[10, b] + b*Log[10, 2]) < 3 && IntegerQ[(a*2^a)/(b*2^b)], AppendTo[lst, (a*2^a)/(b*2^b)]; Print[(a*2^a)/(b*2^b)]], {a, 4620}, {b, Max[1, a - 9(* =Log[2, 10^3] *)], a-1}]; lst (from _Robert G. Wilson v (rgwv(at)rgwv.com), _, May 10 2006)

Discussion
Sat Jul 14
11:40
OEIS Server: https://oeis.org/edit/global/1816
#6 by Russ Cox at Fri Mar 30 18:35:42 EDT 2012
EXTENSIONS

More terms from _David W. Wilson (davidwwilson(AT)comcast.net)_

Discussion
Fri Mar 30
18:35
OEIS Server: https://oeis.org/edit/global/202
#5 by N. J. A. Sloane at Sun Dec 09 03:00:00 EST 2007
KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from David W. Wilson <(davidwwilson(AT)comcast.net>)

#4 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007
KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from David W. Wilson <davidwwilson(AT)comcast.net>

#3 by N. J. A. Sloane at Mon Oct 09 03:00:00 EDT 2006
EXAMPLE

12 is a member because 12 = (3*2^3)/(1*2^1) = (9*2^9)/(6*2^6). Entries which are generated in two or more different ways are 1,12,20,32,48,72,80,112,160,192,256,576,768,..., . - RGWv Robert G. Wilson v May 10 2006.

MATHEMATICA

lst = {1}; Do[ If[ (Log[10, a] + a*Log[10, 2]) - (Log[10, b] + b*Log[10, 2]) < 3 && IntegerQ[(a*2^a)/(b*2^b)], AppendTo[lst, (a*2^a)/(b*2^b)]; Print[(a*2^a)/(b*2^b)]], {a, 4620}, {b, Max[1, a - 9(* =Log[2, 10^3] *)], a-1}]; lst (from RGWv Robert G. Wilson v (rgwv(at)rgwv.com), May 10 2006)

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Fri May 19 03:00:00 EDT 2006
EXAMPLE

12 is a member because 12 = (3*2^3)/(1*2^1) = (9*2^9)/(6*2^6). Entries which are generated in two or more different ways are 1,12,20,32,48,72,80,112,160,192,256,576,768,..., . - RGWv May 10 2006.

MATHEMATICA

lst = {1}; Do[ If[ (Log[10, a] + a*Log[10, 2]) - (Log[10, b] + b*Log[10, 2]) < 3 && IntegerQ[(a*2^a)/(b*2^b)], AppendTo[lst, (a*2^a)/(b*2^b)]; Print[(a*2^a)/(b*2^b)]], {a, 4620}, {b, Max[1, a - 9(* =Log[2, 10^3] *)], a-1}]; lst (from RGWv (rgwv(at)rgwv.com), May 10 2006)

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Tue Jan 24 03:00:00 EST 2006
NAME

Positive integers that can be expressed in the form (a*2^a)/(b*2^b) where a and b are positive integers.

DATA

1, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 16, 17, 18, 20, 24, 32, 33, 34, 36, 37, 40, 42, 48, 52, 64, 65, 66, 67, 68, 70, 72, 76, 80, 88, 96, 112, 128, 129, 130, 132, 135, 136, 142, 144, 156, 160, 184, 192, 240, 256, 257, 258, 260, 264, 272, 288, 320, 352, 384, 448, 512, 513

OFFSET

1,2

COMMENTS

Odd values > 1 are of the form 2^n + odd divisor of n.

EXAMPLE

6 is included because 6 = (6*2^6)/(4*2^4)

KEYWORD

nonn

AUTHOR

Sam Handler (sam_5_5_5_0(AT)yahoo.com), Oct 09 2005

EXTENSIONS

More terms from David Wilson <davidwwilson(AT)comcast.net>

STATUS

approved