login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A068402
Numbers n such that sigma(n+1)=n+phi(n).
0
4, 6, 32, 38, 54, 56, 84, 278, 2664, 10944, 15608, 20720, 84800, 179576, 209664, 6251904, 85505600, 125226624, 584003328, 19018936320, 20534891040, 79185129984, 87065548800, 191904215040, 964494300024
OFFSET
1,1
COMMENTS
Are there any odd values in the sequence?
a(26) > 10^12. - Donovan Johnson, Feb 29 2012
MATHEMATICA
Select[Range[10^5], DivisorSigma[1, # + 1] == # + EulerPhi[#] &] (* Alonso del Arte, Feb 29 2012 *)
PROG
(PARI) : for(n=1, 500000, if(sigma(n+1)-n==eulerphi(n), print1(n, ", ")))
CROSSREFS
Sequence in context: A088255 A192083 A068720 * A078250 A239224 A087299
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, Mar 02 2002
EXTENSIONS
One more term from Rick L. Shepherd, Jun 21 2002
a(17)-a(25) from Donovan Johnson, Feb 29 2012
STATUS
approved