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!)
A077100 a(n) = lcm(A051612(n), A065387(n)), where A051612(n) = sigma(n) - phi(n) and A065387(n) = sigma(n) + phi(n). 10

%I #19 Mar 25 2020 06:52:40

%S 0,4,6,45,10,70,14,209,133,154,22,96,26,90,32,897,34,495,38,850,220,

%T 598,46,884,561,270,638,748,58,320,62,3713,476,1330,72,8137,74,546,

%U 160,3922,82,756,86,832,918,2350,94,3780,495,8249,520,4514,106,2346,224

%N a(n) = lcm(A051612(n), A065387(n)), where A051612(n) = sigma(n) - phi(n) and A065387(n) = sigma(n) + phi(n).

%H Michael De Vlieger, <a href="/A077100/b077100.txt">Table of n, a(n) for n = 1..10000</a>

%F If p is prime, then a(p) = 2*p.

%t Table[LCM[#1 - #2, #1 + #2] & @@ {DivisorSigma[1, n], EulerPhi@ n}, {n, 55}] (* _Michael De Vlieger_, Dec 17 2016 *)

%o (PARI) a(n)=my(f=factor(n),e=eulerphi(f),s=sigma(f)); lcm(s+e,s-e) \\ _Charles R Greathouse IV_, Nov 27 2013

%Y Cf. A000010, A000203, A051612, A065387, A077099, A077101.

%K nonn

%O 1,2

%A _Labos Elemer_, Nov 06 2002

%E Edited by _Dean Hickerson_, Nov 07 2002

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 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)