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A345930 a(n) = A344756(A276086(n)). 5

%I #17 Jul 30 2021 08:51:07

%S 1,1,1,2,7,1,1,1,1,13,41,2,9,11,37,2,47,3,11,7,43,19,53,4,13,17,49,11,

%T 59,1,1,1,1,17,55,1,1,1,1,106,317,19,73,92,289,127,359,13,87,113,331,

%U 148,401,11,101,134,373,169,443,2,11,13,47,2,61,17,69,86,277,121,347,2,83,107,319,2,389,31,97,128,19

%N a(n) = A344756(A276086(n)).

%H Antti Karttunen, <a href="/A345930/b345930.txt">Table of n, a(n) for n = 1..13860</a>

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

%F a(n) = A344756(A276086(n)).

%F a(n) = A327860(n) / A346469(n) = A327860(n) / gcd(A327860(n), A329029(n)).

%o (PARI)

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

%o A069359(n) = (n*sumdiv(n, d, isprime(d)/d)); \\ From A069359

%o A344756(n) = { my(u=A003415(n)); (u/gcd(u,A069359(n))); };

%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A345930(n) = A344756(A276086(n));

%Y Cf. A003415, A069359, A276086, A327860, A329029, A344756, A346469.

%Y Cf. also A342002, A346474, A346475 (compare the scatter plots).

%K nonn,base,look

%O 1,4

%A _Antti Karttunen_, Jul 19 2021

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Last modified September 3 08:59 EDT 2024. Contains 375656 sequences. (Running on oeis4.)