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!)
A326038 Square root of the largest square dividing the sum of divisors of n: a(n) = A000188(sigma(n)). 2

%I #12 Jun 25 2022 17:46:36

%S 1,1,2,1,1,2,2,1,1,3,2,2,1,2,2,1,3,1,2,1,4,6,2,2,1,1,2,2,1,6,4,3,4,3,

%T 4,1,1,2,2,3,1,4,2,2,1,6,4,2,1,1,6,7,3,2,6,2,4,3,2,2,1,4,2,1,2,12,2,3,

%U 4,12,6,1,1,1,2,2,4,2,4,1,11,3,2,4,6,2,2,6,3,3,4,2,8,12,2,6,7,3,2,1,1,6,2,1,8

%N Square root of the largest square dividing the sum of divisors of n: a(n) = A000188(sigma(n)).

%H Antti Karttunen, <a href="/A326038/b326038.txt">Table of n, a(n) for n = 1..65537</a>

%H <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

%F a(n) = A000188(A000203(n)) = A000196(A326039(n)).

%t Table[Last[Select[Sqrt[#]&/@Divisors[DivisorSigma[1,n]],IntegerQ]],{n,120}] (* _Harvey P. Dale_, Jun 25 2022 *)

%o (PARI)

%o A000188(n) = core(n, 1)[2]; \\ From A000188

%o A326038(n) = A000188(sigma(n));

%Y Cf. A000188, A000196, A326038, A326039, A326040.

%K nonn

%O 1,3

%A _Antti Karttunen_, Jun 05 2019

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 August 20 03:42 EDT 2024. Contains 375310 sequences. (Running on oeis4.)