The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A337343 Numbers k such that A064989(sigma(k)) >= k. 2

%I #6 Aug 26 2020 20:44:37

%S 1,2,4,9,16,18,25,36,50,64,100,144,225,256,289,400,450,576,578,729,

%T 784,900,1024,1156,1296,1458,1600,1681,1764,1800,1936,2304,2401,2601,

%U 2704,2916,3136,3362,3481,3600,4096,4356,4624,4802,4900,5041,5184,5202,5328,5776,5832,6084,6400,6561,6724,6962,7056,7225,7744,7921,8192

%N Numbers k such that A064989(sigma(k)) >= k.

%C Not all terms are squares or twice squares: the first terms not in A028982 are: 5328, 8784, 22608, 27792, 35136, 39888, 45072, 57168, 58320, 60624, ...

%o (PARI)

%o A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};

%o isA337343(n) = (A064989(sigma(n))>=n);

%Y Cf. A000203, A028982, A064989, A337344 (odd terms).

%K nonn

%O 1,2

%A _Antti Karttunen_, Aug 26 2020

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 May 15 14:34 EDT 2024. Contains 372540 sequences. (Running on oeis4.)