A353762 a(n) = A353749(n) / gcd(A353749(n), A353750(n)).

1, 1, 2, 1, 3, 1, 15, 1, 2, 1, 35, 2, 22, 15, 3, 4, 26, 1, 51, 1, 15, 35, 209, 1, 6, 11, 3, 1, 161, 1, 435, 1, 35, 13, 45, 2, 62, 51, 22, 1, 37, 15, 123, 7, 6, 209, 989, 8, 175, 3, 26, 44, 611, 3, 35, 5, 51, 161, 1537, 1, 118, 435, 15, 16, 33, 35, 2013, 26, 209, 15, 2345, 1, 142, 31, 12, 17, 525, 11, 949, 4, 432

Offset: 1

Author

Antti Karttunen, May 10 2022

Keywords

• nonn
• frac

Comments

Numerator of ratio A353749(n) / A353750(n).

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000
• Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537
• Index entries for sequences computed from indices in prime factorization
• Index entries for sequences related to sigma(n)

Crossrefs

Cf. A000010, A000203, A006872, A062401, A064989, A336549, A336550, A353757, A353761, A353763 (denominators), A353764 (positions of 1's).

Programs

PARI

A064989(n) = { my(f=factor(n>>valuation(n,2))); for(i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f); };
A353749(n) = (eulerphi(n)*A064989(n));
A353762(n) = { my(s=sigma(n), u=A353749(n)); (u / gcd(A353749(s), u)); };

Formula

a(n) = A353749(n) / A353761(n) = A353749(n) / gcd(A353749(n), A353750(n)).