cp's OEIS Frontend

A336693 Period of binary representation of 1/(1+sigma(n)).

%I A336693 #8 Jul 31 2020 16:43:00
%S A336693 1,1,4,1,3,12,6,1,3,18,12,28,4,20,20,1,18,4,6,14,10,36,20,60,1,14,20,
%T A336693 18,5,9,10,1,21,20,21,11,12,60,18,12,14,48,12,8,39,9,21,100,28,23,9,
%U A336693 30,20,110,9,110,54,12,60,156,6,48,12,1,8,28,22,7,48,28,9,21,20,44,100,46,48,156,54,40,60,7,8,60
%N A336693 Period of binary representation of 1/(1+sigma(n)).
%H A336693 Antti Karttunen, <a href="/A336693/b336693.txt">Table of n, a(n) for n = 1..16384</a>
%H A336693 Antti Karttunen, <a href="/A336693/a336693.txt">Data supplement: n, a(n) computed for n = 1..65537</a>
%H A336693 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A336693 a(n) = A007733(1+A000203(n)) = A007733(A088580(n)) = A007733(A332459(n)).
%o A336693 (PARI)
%o A336693 A007733(n) = znorder(Mod(2, n/2^valuation(n, 2))); \\ From A007733
%o A336693 A336693(n) = A007733(1+sigma(n));
%Y A336693 Cf. A000203, A007733, A088580, A324294, A332459, A336691, A336692, A336694, A336695.
%K A336693 nonn
%O A336693 1,3
%A A336693 _Antti Karttunen_, Jul 31 2020