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Numerator of ratio A336841(n)/A000005(n).
4

%I #10 Aug 17 2020 20:51:37

%S 0,1,2,14,3,9,5,17,44,13,6,32,8,21,23,284,9,163,11,137,37,25,14,105,

%T 30,33,86,73,15,81,18,547,44,37,53,1622,20,45,58,149,21,129,23,260,

%U 401,57,26,1662,230,109,65,114,29,297,63,237,79,61,30,263,33,73,213,4010,83,153,35,383,100,183,36,1715,39,81

%N Numerator of ratio A336841(n)/A000005(n).

%H Antti Karttunen, <a href="/A336837/b336837.txt">Table of n, a(n) for n = 1..16384</a>

%H Antti Karttunen, <a href="/A336837/a336837.txt">Data supplement: n, a(n) computed for n = 1..65537</a>

%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

%F a(n) = A336841(n) / A336856(n) = A336841(n) / gcd(A000005(n), A336841(n)).

%o (PARI)

%o A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };

%o A336841(n) = ((numdiv(n)*A003961(n)) - sigma(A003961(n)));

%o A336837(n) = numerator(A336841(n)/numdiv(n));

%Y Cf. A000005, A003961, A003973, A336838, A336841, A336856.

%Y Cf. A336839 (denominators).

%K nonn,frac

%O 1,3

%A _Antti Karttunen_, Aug 07 2020