cp's OEIS Frontend

A324654 a(n) = A033879(A276086(n)).

%I A324654 #10 Mar 10 2019 19:32:50
%S A324654 1,1,2,0,5,-3,4,2,6,-12,12,-54,19,7,26,-72,47,-309,94,32,126,-372,222,
%T A324654 -1584,469,157,626,-1872,1097,-7959,6,4,10,-12,22,-60,22,-4,18,-156,6,
%U A324654 -612,102,-44,58,-876,-74,-3372,502,-244,258,-4476,-474,-17172,2502,-1244,1258,-22476,-2474,-86172,41,25,66,-96,141,-459,148,-46,102
%N A324654 a(n) = A033879(A276086(n)).
%C A324654 Interestingly, this kind of sampling of deficiency (A033879; recall that the range of A276086 does not cover the whole N) biases it strongly towards negative values: of the first 2310 terms, 1565 are negative (~ 68%) and of the first 30030 terms, 22507 are negative (~ 75%). Compare also to A323174, which covers whole N.
%H A324654 Antti Karttunen, <a href="/A324654/b324654.txt">Table of n, a(n) for n = 0..2310</a>
%H A324654 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%H A324654 <a href="/index/Pri#primorial_numbers">Index entries for sequences related to primorial numbers</a>
%H A324654 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A324654 a(n) = A033879(A276086(n)).
%F A324654 a(n) = 2*A276086(n) - A324653(n).
%o A324654 (PARI)
%o A324654 A276086(n) = { my(i=0,m=1,pr=1,nextpr); while((n>0),i=i+1; nextpr = prime(i)*pr; if((n%nextpr),m*=(prime(i)^((n%nextpr)/pr));n-=(n%nextpr));pr=nextpr); m; };
%o A324654 A033879(n) = (2*n-sigma(n));
%o A324654 A324654(n) = A033879(A276086(n));
%Y A324654 Cf. A033879, A276086, A324653.
%Y A324654 Cf. also A323174, A324055.
%K A324654 sign
%O A324654 0,3
%A A324654 _Antti Karttunen_, Mar 10 2019