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!)
A181647 Numbers m having the same sum of divisors as m+20 has. 15

%I #14 Feb 06 2016 09:47:22

%S 42,51,123,141,204,371,497,708,923,992,1034,1343,1391,1484,1595,1691,

%T 1826,3266,3317,5015,5152,7367,8003,9132,9287,9494,11078,13223,15458,

%U 15833,17975,18752,19428,20120,20915,21251,21566,24119,24503,25787

%N Numbers m having the same sum of divisors as m+20 has.

%C A000203(a(n)) = A000203(a(n) + 20).

%D J.-M. De Koninck, Those Fascinating Numbers, Amer. Math. Soc., 2009, page 16.

%H Reinhard Zumkeller and Donovan Johnson, <a href="/A181647/b181647.txt">Table of n, a(n) for n = 1..1000</a> (first 100 terms from Reinhard Zumkeller)

%H A. Weingartner, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL14/Weingartner/wein3.html">On the Solutions of sigma(n) = sigma(n+k)</a>, Journal of Integer Sequences, Vol. 14 (2011), #11.5.5.

%e a(1)=42, divisors(42)={1,2,3,6,7,14,21,42}, divisors(42+20)={1,2,31,62}: 1+2+3+6+7+14+21+42=1+2+31+62.

%o (PARI) isok(n) = sigma(n) == sigma(n+20); \\ _Michel Marcus_, Feb 06 2016

%Y Cf. A002961, A007373, A015861, A015863, A015865, A015866, A015867, A015876, A015877, A015880, A015881, A015882, A015883.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Nov 03 2010

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 April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)