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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A058073 Numbers n such that sigma(n+1) divides sigma(n), where sigma(n) is sum of positive divisors of n. 3
12, 14, 70, 88, 180, 204, 206, 220, 957, 1334, 1364, 1634, 1750, 1888, 2685, 2958, 2974, 4364, 8142, 8632, 9114, 12000, 14664, 14841, 18414, 18762, 18873, 19358, 20118, 20145, 20712, 24957, 25194, 30996, 33998, 36566, 42818, 45520, 47940 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The ratio is always equal to 1, 2 or 3. A002961 is a subset of this sequence. - Paolo P. Lava (paoloplava(AT)gmail.com), Aug 23 2007

EXAMPLE

12 is included because sigma(13) = 14 divides sigma(12) = 28.

MATHEMATICA

Select[Range[50000], Mod[DivisorSigma[1, # ], DivisorSigma[1, # + 1]] == 0 &]

CROSSREFS

Sequence in context: A022326 A127401 A106135 * A058951 A002926 A139310

Adjacent sequences:  A058070 A058071 A058072 * A058074 A058075 A058076

KEYWORD

nonn

AUTHOR

Leroy Quet Nov 11 2000

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 27 2002

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 14 22:15 EST 2012. Contains 205670 sequences.