cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A015827 Numbers k such that phi(k + 9) | sigma(k).

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%I A015827 #24 Jan 10 2019 10:23:04
%S A015827 3,5,7,10,15,21,24,30,31,33,42,47,57,69,78,79,93,102,114,127,129,135,
%T A015827 145,161,174,177,186,210,213,216,223,231,237,238,239,249,258,264,270,
%U A015827 282,297,309,318,355,367,371,376,393,399,402,417,418,435,438,455,456
%N A015827 Numbers k such that phi(k + 9) | sigma(k).
%C A015827 Includes 6*A023204.  Thus Dickson's conjecture implies the sequence is infinite. - _Robert Israel_, Jan 10 2019
%H A015827 Vincenzo Librandi, <a href="/A015827/b015827.txt">Table of n, a(n) for n = 1..3000</a>
%p A015827 filter:= n -> (numtheory:-sigma(n)/numtheory:-phi(n+9))::integer:
%p A015827 select(filter, [$1..1000]); # _Robert Israel_, Jan 10 2019
%t A015827 Select[Range[1000], Divisible[DivisorSigma[1, #], EulerPhi[9 + #]] &] (* _David Nacin_, Mar 01 2012 *)
%o A015827 (PARI) is(n)=sigma(n)%(eulerphi(n)+9)==0 \\ _Charles R Greathouse IV_, Sep 25 2012
%Y A015827 Cf. A015849, A023204.
%K A015827 nonn
%O A015827 1,1
%A A015827 _Robert G. Wilson v_