A354366 Denominators of Dirichlet inverse of primorial deflation fraction A319626(n) / A319627(n).

1, 1, 2, 1, 3, 1, 5, 1, 1, 3, 7, 1, 11, 5, 2, 1, 13, 1, 17, 1, 10, 7, 19, 1, 1, 11, 1, 1, 23, 1, 29, 1, 14, 13, 3, 1, 31, 17, 22, 1, 37, 5, 41, 1, 1, 19, 43, 1, 1, 1, 26, 1, 47, 1, 21, 1, 34, 23, 53, 1, 59, 29, 1, 1, 33, 7, 61, 1, 38, 3, 67, 1, 71, 31, 1, 1, 5, 11, 73, 1, 1, 37, 79, 1, 39, 41, 46, 1, 83, 1, 55, 1, 58

Offset: 1

Author

Antti Karttunen, Jun 07 2022

Keywords

• nonn
• frac

Comments

Equally, denominators of Dirichlet inverse of fraction n / A064989(n). See also comments in A354365.

Links

• Index entries for sequences computed from indices in prime factorization

Crossrefs

Cf. A055615, A064989, A319626, A319627, A354360 (positions of 1's).

Cf. A354365 (numerators).

Cf. also A349630.

Programs

PARI

A064989(n) = { my(f = factor(n)); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f); };
A354366(n) = denominator((moebius(n)*n)/A064989(n));

Formula

a(n) = A064989(n) / gcd(A055615(n), A064989(n)).