%I #9 May 29 2021 20:02:49

%S 0,1,1,7,2,5,1,7,14,47,16,43,2,9,8,59,22,31,3,11,17,41,13,49,4,13,11,

%T 53,19,37,1,9,10,55,17,41,27,89,128,479,187,361,39,113,116,503,199,

%U 337,31,97,164,407,151,433,43,121,152,431,163,409,2,11,13,61,20,47,12,59,158,419,157,421,29,93,71,593,244,247,41

%N "Twisted variant" of A342002: a(n) = A342001(A328627(n)) = A342002(A328626(n)).

%H Antti Karttunen, <a href="/A344762/b344762.txt">Table of n, a(n) for n = 0..11550</a>

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

%F a(n) = A342001(A328627(n)) = A342002(A328626(n)).

%o (PARI)

%o A328627(n) = { my(m=1, p=2, d=0); while(n, d = lift(Mod(n,p)/(d+1)); m *= (p^d); n = n\p; p = nextprime(1+p)); (m); };

%o A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));

%o A003557(n) = (n/factorback(factorint(n)[, 1]));

%o A342001(n) = (A003415(n) / A003557(n));

%o A344762(n) = A342001(A328627(n));

%Y Cf. A003415, A003557, A276086, A328626, A328627, A342001, A342002.

%Y Cf. also A344761 (another variant based on inverse of A328626).

%K nonn,look

%O 0,4

%A _Antti Karttunen_, May 29 2021