login
Number of divisors d of n such that A276086(d) divides n.
6

%I #9 Feb 08 2019 00:10:11

%S 0,1,0,1,0,3,0,1,0,1,0,3,0,1,0,1,0,3,0,1,0,1,0,3,0,1,0,1,0,4,0,1,0,1,

%T 0,4,0,1,0,1,0,3,0,1,0,1,0,3,0,1,0,1,0,3,0,1,0,1,0,4,0,1,0,1,0,3,0,1,

%U 0,2,0,4,0,1,0,1,0,3,0,1,0,1,0,3,0,1,0,1,0,7,0,1,0,1,0,3,0,1,0,1,0,3,0,1,0

%N Number of divisors d of n such that A276086(d) divides n.

%H Antti Karttunen, <a href="/A323878/b323878.txt">Table of n, a(n) for n = 1..30030</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%F a(n) = Sum_{d|n} [A276086(d)|n], where [ ] is the Iverson bracket.

%o (PARI)

%o 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 A323878(n) = sumdiv(n,d,!(n%A276086(d)));

%Y Cf. A276086.

%Y Cf. also A323068, A323069, A323879.

%K nonn,base

%O 1,6

%A _Antti Karttunen_, Feb 07 2019