A354364 a(n) = A003973(n) / A354363(n).

1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 4, 2, 1, 1, 1, 1, 1, 6, 2, 1, 2, 1, 2, 1, 1, 1, 8, 1, 1, 2, 4, 4, 1, 1, 4, 6, 8, 1, 24, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 4, 2, 4, 6, 4, 1, 2, 1, 2, 1, 1, 2, 4, 1, 1, 6, 16, 1, 1, 1, 2, 3, 1, 2, 12, 1, 1, 1, 4, 1, 6, 4, 4, 2, 2, 1, 4, 6, 1, 2, 2, 8, 2, 1, 1, 1, 1, 1, 8, 1, 2, 24

Offset: 1

Author

Antti Karttunen, May 30 2022

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000
• 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. A003961, A003973, A353784, A354363.

Programs

PARI

A003973(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); sigma(factorback(f)); };
A354364(n) = { my(f=factor(n)~); (A003973(n)/lcm(vector(#f, i, A003973(f[1, i]^f[2, i])))); };

Formula

a(n) = A353784(A003961(n)).